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Author : Lawrence Ein
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.E/5 ( download)
Download or read book Projective Varieties, Linear Systems and Vector Bundles written by Lawrence Ein and published by . This book was released on 1994 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R.K. Lazarsfeld
Publisher : Springer Science & Business Media
ISBN 13 : 9783540225331
Total Pages : 414 pages
Book Rating : 4.2/5 (253 download)
Download or read book Positivity in Algebraic Geometry I written by R.K. Lazarsfeld and published by Springer Science & Business Media. This book was released on 2004-08-24 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.
Author : Mauro C. Beltrametti
Publisher : Walter de Gruyter
ISBN 13 : 3110871742
Total Pages : 421 pages
Book Rating : 4.1/5 (18 download)
Download or read book The Adjunction Theory of Complex Projective Varieties written by Mauro C. Beltrametti and published by Walter de Gruyter. This book was released on 2011-06-03 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Author : C.I. Byrnes
Publisher : Springer Science & Business Media
ISBN 13 : 9400990820
Total Pages : 320 pages
Book Rating : 4.4/5 (9 download)
Download or read book Geometrical Methods for the Theory of Linear Systems written by C.I. Byrnes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures contained in this book were presented at Harvard University in June 1979. The workshop at which they were presented was the third such on algebro-geometric methods. The first was held in 1973 in London and the emphasis was largely on geometric methods. The second was held at Ames Research Center-NASA in 1976. There again the emphasis was on geometric methods, but algebraic geometry was becoming a dominant theme. In the two years after the Ames meeting there was tremendous growth in the applications of algebraic geometry to systems theory and it was becoming clear that much of the algebraic systems theory was very closely related to the geometric systems theory. On this basis we felt that this was the right time to devote a workshop to the applications of algebra and algebraic geometry to linear systems theory. The lectures contained in this volume represent all but one of the tutorial lectures presented at the workshop. The lec ture of Professor Murray Wonham is not contained in this volume and we refer the interested to the archival literature. This workshop was jointly sponsored by a grant from Ames Research Center-NASA and a grant from the Advanced Study Institute Program of NATO. We greatly appreciate the financial support rendered by these two organizations. The American Mathematical Society hosted this meeting as part of their Summer Seminars in Applied Mathematics and will publish the companion volume of con tributed papers.
Author : David Eisenbud
Publisher : Cambridge University Press
ISBN 13 : 1107017084
Total Pages : 633 pages
Book Rating : 4.1/5 (7 download)
Download or read book 3264 and All That written by David Eisenbud and published by Cambridge University Press. This book was released on 2016-04-14 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3264, the mathematical solution to a question concerning geometric figures.
Author : Christian Okonek
Publisher : Springer Science & Business Media
ISBN 13 : 1475714602
Total Pages : 399 pages
Book Rating : 4.4/5 (757 download)
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.
Author : N. J. Hitchin
Publisher : Cambridge University Press
ISBN 13 : 0521498783
Total Pages : 359 pages
Book Rating : 4.5/5 (214 download)
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.
Author : Stephen Boyd
Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)
Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Author : Daniel Huybrechts
Publisher : Cambridge University Press
ISBN 13 : 1316797252
Total Pages : 499 pages
Book Rating : 4.3/5 (167 download)
Download or read book Lectures on K3 Surfaces written by Daniel Huybrechts and published by Cambridge University Press. This book was released on 2016-09-26 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi–Yau manifolds from various perspectives in eighteen self-contained chapters. It starts with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjecture for K3 surfaces and structural results on Chow groups. Powerful general techniques are introduced to study the many facets of K3 surfaces, including arithmetic, homological, and differential geometric aspects. In this context, the book covers Hodge structures, moduli spaces, periods, derived categories, birational techniques, Chow rings, and deformation theory. Famous open conjectures, for example the conjectures of Calabi, Weil, and Artin–Tate, are discussed in general and for K3 surfaces in particular, and each chapter ends with questions and open problems. Based on lectures at the advanced graduate level, this book is suitable for courses and as a reference for researchers.
Author : Herbert Lange
Publisher : Springer Science & Business Media
ISBN 13 : 3662027887
Total Pages : 443 pages
Book Rating : 4.6/5 (62 download)
Download or read book Complex Abelian Varieties written by Herbert Lange and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abelian varieties are special examples of projective varieties. As such theycan be described by a set of homogeneous polynomial equations. The theory ofabelian varieties originated in the beginning of the ninetheenth centrury with the work of Abel and Jacobi. The subject of this book is the theory of abelian varieties over the field of complex numbers, and it covers the main results of the theory, both classic and recent, in modern language. It is intended to give a comprehensive introduction to the field, but also to serve as a reference. The focal topics are the projective embeddings of an abelian variety, their equations and geometric properties. Moreover several moduli spaces of abelian varieties with additional structure are constructed. Some special results onJacobians and Prym varieties allow applications to the theory of algebraic curves. The main tools for the proofs are the theta group of a line bundle, introduced by Mumford, and the characteristics, to be associated to any nondegenerate line bundle. They are a direct generalization of the classical notion of characteristics of theta functions.
Author : F. L. Zak
Publisher : American Mathematical Soc.
ISBN 13 : 0821838377
Total Pages : 176 pages
Book Rating : 4.8/5 (218 download)
Download or read book Tangents and Secants of Algebraic Varieties written by F. L. Zak and published by American Mathematical Soc.. This book was released on 1993 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book is devoted to geometry of algebraic varieties in projective spaces. Among the objects considered in some detail are tangent and secant varieties, Gauss maps, dual varieties, hyperplane sections, projections, and varieties of small codimension. Emphasis is made on the study of interplay between irregular behavior of (higher) secant varieties and irregular tangencies to the original variety. Classification of varieties with unusual tangential properties yields interesting examples many of which arise as orbits of representations of algebraic groups."--ABSTRACT.
Author : Maurizio Cornalba
Publisher : World Scientific
ISBN 13 : 9814590878
Total Pages : 716 pages
Book Rating : 4.8/5 (145 download)
Download or read book Lectures On Riemann Surfaces - Proceedings Of The College On Riemann Surfaces written by Maurizio Cornalba and published by World Scientific. This book was released on 1989-06-01 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.I. Danilov
Publisher : Springer Science & Business Media
ISBN 13 : 9783540637059
Total Pages : 328 pages
Book Rating : 4.6/5 (37 download)
Download or read book Algebraic Geometry I written by V.I. Danilov and published by Springer Science & Business Media. This book was released on 1998-03-17 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "... To sum up, this book helps to learn algebraic geometry in a short time, its concrete style is enjoyable for students and reveals the beauty of mathematics." --Acta Scientiarum Mathematicarum
Author : Elena Rubei
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110316234
Total Pages : 240 pages
Book Rating : 4.1/5 (13 download)
Download or read book Algebraic Geometry written by Elena Rubei and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-05-27 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic geometry is one of the most classic subjects of university research in mathematics. It has a very complicated language that makes life very difficult for beginners. This book is a little dictionary of algebraic geometry: for every of the most common words in algebraic geometry, it contains its definition, several references and the statements of the main theorems about that term (without their proofs). Also some terms of other subjects, close to algebraic geometry, have been included. It was born to help beginners that know some basic facts of algebraic geometry, but not every basic fact, to follow seminars and to read papers, by providing them with basic definitions and statements. The form of a dictionary makes it very easy and quick to consult.
Author : Piotr Pragacz
Publisher : European Mathematical Society
ISBN 13 : 9783037191149
Total Pages : 520 pages
Book Rating : 4.1/5 (911 download)
Download or read book Contributions to Algebraic Geometry written by Piotr Pragacz and published by European Mathematical Society. This book was released on 2012 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are the outcome of the Impanga Conference on Algebraic Geometry in 2010 at the Banach Center in Bedlewo. The following spectrum of topics is covered: K3 surfaces and Enriques surfaces Prym varieties and their moduli invariants of singularities in birational geometry differential forms on singular spaces Minimal Model Program linear systems toric varieties Seshadri and packing constants equivariant cohomology Thom polynomials arithmetic questions The main purpose of the volume is to give comprehensive introductions to the above topics, starting from an elementary level and ending with a discussion of current research. The first four topics are represented by the notes from the mini courses held during the conference. In the articles, the reader will find classical results and methods, as well as modern ones. This book is addressed to researchers and graduate students in algebraic geometry, singularity theory, and algebraic topology. Most of the material in this volume has not yet appeared in book form.
Author : Paolo Francia
Publisher : Walter de Gruyter
ISBN 13 : 3110171805
Total Pages : 367 pages
Book Rating : 4.1/5 (11 download)
Download or read book Algebraic Geometry written by Paolo Francia and published by Walter de Gruyter. This book was released on 2002 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume cover a wide spectrum of algebraic geometry, from motives theory to numerical algebraic geometry and are mainly focused on higher dimensional varieties and Minimal Model Program and surfaces of general type.
Author : Karen E. Smith
Publisher : Springer Science & Business Media
ISBN 13 : 1475744978
Total Pages : 173 pages
Book Rating : 4.4/5 (757 download)
Download or read book An Invitation to Algebraic Geometry written by Karen E. Smith and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.
