Helices and Vector Bundles

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Publisher : Cambridge University Press
ISBN 13 : 0521388112
Total Pages : 153 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Helices and Vector Bundles by : A. N. Rudakov

Download or read book Helices and Vector Bundles written by A. N. Rudakov and published by Cambridge University Press. This book was released on 1990-07-12 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arising out of a series of seminars organized in Moscow by A.N. Rudakov, this volume is devoted to the use of helices as a method for studying exceptional vector bundles, an important and natural concept in algebraic geometry.

Helices and Vector Bundles

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Publisher :
ISBN 13 : 9781107364073
Total Pages : 0 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Helices and Vector Bundles by :

Download or read book Helices and Vector Bundles written by and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the use of helices as a method for studying exceptional vector bundles, an important and natural concept in algebraic geometry. The work arises out of a series of seminars organised in Moscow by A.N. Rudakov. The first article sets up the general machinery, and later ones explore its use in various contexts. As to be expected, the approach is concrete; the theory is considered for quadrics, ruled surfaces, K3 surfaces and P3(C).

Helices and Vector Bundles

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Publisher :
ISBN 13 : 9781107361621
Total Pages : 150 pages
Book Rating : 4.3/5 (616 download)

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Book Synopsis Helices and Vector Bundles by : A. N. Rudakov

Download or read book Helices and Vector Bundles written by A. N. Rudakov and published by . This book was released on 2014-05-14 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the use of helices as a method for studying exceptional vector bundles, an important and natural concept in algebraic geometry. The work arises out of a series of seminars organized in Moscow by A.N. Rudakov. The first article sets up the general machinery, and later ones explore its use in various contexts. As to be expected, the approach is concrete; the theory is considered for quadrics, ruled surfaces, K3 surfaces and PP DEGREE

Vector Bundles in Algebraic Geometry

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Publisher : Cambridge University Press
ISBN 13 : 0521498783
Total Pages : 359 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Vector Bundles in Algebraic Geometry by : N. J. Hitchin

Download or read book Vector Bundles in Algebraic Geometry written by N. J. Hitchin and published by Cambridge University Press. This book was released on 1995-03-16 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of survey articles by the main speakers at the 1993 Durham symposium on vector bundles in algebraic geometry.

Exceptional Vector Bundles, Tilting Sheaves and Tilting Complexes for Weighted Projective Lines

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Publisher : American Mathematical Soc.
ISBN 13 : 082183519X
Total Pages : 139 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Exceptional Vector Bundles, Tilting Sheaves and Tilting Complexes for Weighted Projective Lines by : Hagen Meltzer

Download or read book Exceptional Vector Bundles, Tilting Sheaves and Tilting Complexes for Weighted Projective Lines written by Hagen Meltzer and published by American Mathematical Soc.. This book was released on 2004 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work deals with weighted projective lines, a class of non-commutative curves modelled by Geigle and Lenzing on a graded commutative sheaf theory. They play an important role in representation theory of finite-dimensional algebras; the complexity of the classification of coherent sheaves largely depends on the genus of these curves. We study exceptional vector bundles on weighted projective lines and show in particular that the braid group acts transitively on the set of complete exceptional sequences of such bundles. We further investigate tilting sheaves on weighted projective lines and determine the Auslander-Reiten components of modules over their endomorphism rings. Finally we study tilting complexes in the derived category and present detailed classification results in the case of weighted projective lines of hyperelliptic type.

Vector Bundles and Their Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1475769237
Total Pages : 259 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Vector Bundles and Their Applications by : Glenys Luke

Download or read book Vector Bundles and Their Applications written by Glenys Luke and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the basic notions of vector bundles and their applications. The focus of attention is towards explaining the most important notions and geometric constructions connected with the theory of vector bundles. Theorems are not always formulated in maximal generality but rather in such a way that the geometric nature of the objects comes to the fore. Whenever possible examples are given to illustrate the role of vector bundles. Audience: With numerous illustrations and applications to various problems in mathematics and the sciences, the book will be of interest to a range of graduate students from pure and applied mathematics.

Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821821596
Total Pages : 392 pages
Book Rating : 4.8/5 (215 download)

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Book Synopsis Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds by : Cumrun Vafa

Download or read book Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds written by Cumrun Vafa and published by American Mathematical Soc.. This book was released on 2001 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 16 articles presented here are based on lectures given at the Winter School on Mirror Symmetry held at Harvard University in January 1999. They represent recent progress and new directions in the field. Specific topics include Floer homology and mirror symmetry, special Lagrange fibrations, special Lagrangian submanifolds, and local mirror symmetry at higher genus. Other topics include homological mirror symmetry with higher products, categorical mirror symmetry in the elliptic curve, Lagrangian torus fibration of quintic hypersurfaces, mirror symmetry and T-duality, and mirror symmetry and actions of Braid groups on derived categories. This work lacks a subject index. c. Book News Inc.

Vector Bundles

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Publisher : Universitätsverlag Göttingen
ISBN 13 : 3938616741
Total Pages : 330 pages
Book Rating : 4.9/5 (386 download)

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Book Synopsis Vector Bundles by : Andrej N. Tjurin

Download or read book Vector Bundles written by Andrej N. Tjurin and published by Universitätsverlag Göttingen. This book was released on 2008 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a three volume collection of Andrey Nikolaevich Tyurin's Selected Works. It includes his most interesting articles in the field of classical algebraic geometry, written during his whole career from the 1960s. Most of these papers treat different problems of the theory of vector bundles on curves and higher dimensional algebraic varieties, a theory which is central to algebraic geometry and most of its applications.

Vector Bundles on Complex Projective Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 1475714602
Total Pages : 399 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Vector Bundles on Complex Projective Spaces by : Christian Okonek

Download or read book Vector Bundles on Complex Projective Spaces written by Christian Okonek and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes are intended as an introduction to the methods of classification of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = Fn. According to Serre (GAGA) the classification of holomorphic vector bundles is equivalent to the classification of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some funda mental results from these fields are summarized at the beginning. One of the authors gave a survey in the Seminaire Bourbaki 1978 on the current state of the classification of holomorphic vector bundles overFn. This lecture then served as the basis for a course of lectures in Gottingen in the Winter Semester 78/79. The present work is an extended and up-dated exposition of that course. Because of the introductory nature of this book we have had to leave out some difficult topics such as the restriction theorem of Barth. As compensation we have appended to each sec tion a paragraph in which historical remarks are made, further results indicated and unsolved problems presented. The book is divided into two chapters. Each chapter is subdivided into several sections which in turn are made up of a number of paragraphs. Each section is preceeded by a short description of iv its contents.

Representations of Elementary Abelian p-Groups and Vector Bundles

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Publisher : Cambridge University Press
ISBN 13 : 1107174171
Total Pages : 347 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Representations of Elementary Abelian p-Groups and Vector Bundles by : David J. Benson

Download or read book Representations of Elementary Abelian p-Groups and Vector Bundles written by David J. Benson and published by Cambridge University Press. This book was released on 2017 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up to date study of recent progress in vector bundle methods in the representation theory of elementary abelian groups.

Representations of Algebras

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821860199
Total Pages : 508 pages
Book Rating : 4.8/5 (61 download)

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Book Synopsis Representations of Algebras by : Vlastimil Dlab

Download or read book Representations of Algebras written by Vlastimil Dlab and published by American Mathematical Soc.. This book was released on 1993 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Sixth International Conference on Representations of Algebras was held at Carleton University in Ottawa, Canada, in August 1992. This refereed volume contains papers presented at the conference, as well as a number of papers submitted after the conference. Describing developments at the forefront of the field, this book will be of interest to algebraists working in the field of representation theory.

Groups, Algebras and Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821852396
Total Pages : 336 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Groups, Algebras and Applications by : César Polcino Milies

Download or read book Groups, Algebras and Applications written by César Polcino Milies and published by American Mathematical Soc.. This book was released on 2011 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of the XVIII Latin American Algebra Colloquium, held from August 3-8, 2009, in Sao Paulo, Brazil. It includes research articles as well as up-to-date surveys covering several directions of current research in algebra, such as Asymptotic Codimension Growth, Hopf Algebras, Structure Theory of both Associative and Non-Associative Algebras, Partial Actions of Groups on Rings, and contributions to Coding Theory.

Ulrich Bundles

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110647680
Total Pages : 282 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Ulrich Bundles by : Laura Costa

Download or read book Ulrich Bundles written by Laura Costa and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-05-10 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to cover the active developments of arithmetically Cohen-Macaulay and Ulrich bundles and related topics in the last 30 years, and to present relevant techniques and multiple applications of the theory of Ulrich bundles to a wide range of problems in algebraic geometry as well as in commutative algebra.

The Geometry of Moduli Spaces of Sheaves

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Publisher : Cambridge University Press
ISBN 13 : 1139485822
Total Pages : 345 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis The Geometry of Moduli Spaces of Sheaves by : Daniel Huybrechts

Download or read book The Geometry of Moduli Spaces of Sheaves written by Daniel Huybrechts and published by Cambridge University Press. This book was released on 2010-05-27 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.

Cohomology of Vector Bundles and Syzygies

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Publisher : Cambridge University Press
ISBN 13 : 9780521621977
Total Pages : 404 pages
Book Rating : 4.6/5 (219 download)

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Book Synopsis Cohomology of Vector Bundles and Syzygies by : Jerzy Weyman

Download or read book Cohomology of Vector Bundles and Syzygies written by Jerzy Weyman and published by Cambridge University Press. This book was released on 2003-06-09 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this book is an exposition of the geometric technique of calculating syzygies. It is written from a point of view of commutative algebra, and without assuming any knowledge of representation theory the calculation of syzygies of determinantal varieties is explained. The starting point is a definition of Schur functors, and these are discussed from both an algebraic and geometric point of view. Then a chapter on various versions of Bott's Theorem leads on to a careful explanation of the technique itself, based on a description of the direct image of a Koszul complex. Applications to determinantal varieties follow, plus there are also chapters on applications of the technique to rank varieties for symmetric and skew symmetric tensors of arbitrary degree, closures of conjugacy classes of nilpotent matrices, discriminants and resultants. Numerous exercises are included to give the reader insight into how to apply this important method.

Proceedings of the International Congress of Mathematicians

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Publisher : Birkhäuser
ISBN 13 : 3034890788
Total Pages : 1669 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Proceedings of the International Congress of Mathematicians by : S.D. Chatterji

Download or read book Proceedings of the International Congress of Mathematicians written by S.D. Chatterji and published by Birkhäuser. This book was released on 2012-12-06 with total page 1669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account of the organization of the Congress, the list of ordinary members, the reports on the work of the Fields Medalists and the Nevanlinna Prize Winner, the plenary one-hour addresses, and the invited addresses presented at Section Meetings 1 - 6. Volume II contains the invited address for Section Meetings 7 - 19. A complete author index is included in both volumes. '...the content of these impressive two volumes sheds a certain light on the present state of mathematical sciences and anybody doing research in mathematics should look carefully at these Proceedings. For young people beginning research, this is even more important, so these are a must for any serious mathematics library. The graphical presentation is, as always with Birkhäuser, excellent....' (Revue Roumaine de Mathematiques pures et Appliquées)

Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821871454
Total Pages : 508 pages
Book Rating : 4.8/5 (714 download)

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Book Synopsis Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry by : Vlastimil Dlab

Download or read book Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry written by Vlastimil Dlab and published by American Mathematical Soc.. This book was released on with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings are from the Tenth International Conference on Representations of Algebras and Related Topics (ICRA X) held at The Fields Institute. In addition to the traditional ''instructional'' workshop preceding the conference, there were also workshops on ''Commutative Algebra, Algebraic Geometry and Representation Theory'', ''Finite Dimensional Algebras, Algebraic Groups and Lie Theory'', and ''Quantum Groups and Hall Algebras''. These workshops reflect the latest developments and the increasing interest in areas that are closely related to the representation theory of finite dimensional associative algebras. Although these workshops were organized separately, their topics are strongly interrelated. The workshop on Commutative Algebra, Algebraic Geometry and Representation Theory surveyed various recently established connections, such as those pertaining to the classification of vector bundles or Cohen-Macaulay modules over Noetherian rings, coherent sheaves on curves, or ideals in Weyl algebras. In addition, methods from algebraic geometry or commutative algebra relating to quiver representations and varieties of modules were presented. The workshop on Finite Dimensional Algebras, Algebraic Groups and Lie Theory surveyed developments in finite dimensional algebras and infinite dimensional Lie theory, especially as the two areas interact and may have future interactions. The workshop on Quantum Groups and Hall Algebras dealt with the different approaches of using the representation theory of quivers (and species) in order to construct quantum groups, working either over finite fields or over the complex numbers. In particular, these proceedings contain a quite detailed outline of the use of perverse sheaves in order to obtain canonical bases. The book is recommended for graduate students and researchers in algebra and geometry.