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Author : Robin Hartshorne
Publisher : Springer
ISBN 13 : 3540363459
Total Pages : 271 pages
Book Rating : 4.5/5 (43 download)
Download or read book Ample Subvarieties of Algebraic Varieties written by Robin Hartshorne and published by Springer. This book was released on 2006-11-15 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robin Hartshorne
Publisher : Springer
ISBN 13 : 9783662186268
Total Pages : 260 pages
Book Rating : 4.1/5 (862 download)
Download or read book Ample Subvarieties of Algebraic Varieties written by Robin Hartshorne and published by Springer. This book was released on 2014-10-08 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robin Hartshorne
Publisher : Springer Science & Business Media
ISBN 13 : 1475738498
Total Pages : 511 pages
Book Rating : 4.4/5 (757 download)
Download or read book Algebraic Geometry written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.
Author : Ciro Ciliberto
Publisher : American Mathematical Soc.
ISBN 13 : 0821851799
Total Pages : 410 pages
Book Rating : 4.8/5 (218 download)
Download or read book Classification of Algebraic Varieties written by Ciro Ciliberto and published by American Mathematical Soc.. This book was released on 1994 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Algebraic Geometry Conference on Classification of Algebraic Varieties, held in May 1992 at the University of L'Aquila in Italy. The papers discuss a wide variety of problems that illustrate interactions between algebraic geometry and other branches of mathematics. Among the topics covered are algebraic curve theory, algebraic surface theory, the theory of minimal models, braid groups and the topology of algebraic varieties, toric varieties, Calabi-Yau three-folds, enumerative formulas, and generalizations of Kahler differential geometry. In addition to algebraic geometers, theoretical physicists in some areas will find this book useful. The book is also suitable for an advanced graduate course in algebraic geometry, as it provides an overview of some areas of current research.
Author : R.K. Lazarsfeld
Publisher : Springer
ISBN 13 : 3642188109
Total Pages : 385 pages
Book Rating : 4.6/5 (421 download)
Download or read book Positivity in Algebraic Geometry II written by R.K. Lazarsfeld and published by Springer. This book was released on 2017-07-25 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two volume work containing a contemporary account on "Positivity in Algebraic Geometry". Both volumes also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete". A good deal of the material has not previously appeared in book form. Volume II is more at the research level and somewhat more specialized than Volume I. Volume II contains a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. Contains many concrete examples, applications, and pointers to further developments
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 : R.K. Lazarsfeld
Publisher : Springer Science & Business Media
ISBN 13 : 9783540225348
Total Pages : 412 pages
Book Rating : 4.2/5 (253 download)
Download or read book Positivity in algebraic geometry 2 written by R.K. Lazarsfeld and published by Springer Science & Business Media. This book was released on 2004-08-24 with total page 412 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. Whereas Volume I is more elementary, the present Volume II is more at the research level and somewhat more specialized. Both volumes are also available as hardcover edition as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete".
Author : Andrew J. Sommese
Publisher : Springer
ISBN 13 : 3540469346
Total Pages : 325 pages
Book Rating : 4.5/5 (44 download)
Download or read book Algebraic Geometry written by Andrew J. Sommese and published by Springer. This book was released on 2006-11-14 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas Peternell
Publisher : Birkhäuser
ISBN 13 : 3034888937
Total Pages : 221 pages
Book Rating : 4.0/5 (348 download)
Download or read book Geometry of Higher Dimensional Algebraic Varieties written by Thomas Peternell and published by Birkhäuser. This book was released on 2012-12-06 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the classification theory and geometry of higher dimensional complex-algebraic varieties, focusing on the tremendeous developments of the sub ject in the last 20 years. The work is in two parts, with each one preceeded by an introduction describing its contents in detail. Here, it will suffice to simply ex plain how the subject matter has been divided. Cum grano salis one might say that Part 1 (Miyaoka) is more concerned with the algebraic methods and Part 2 (Peternell) with the more analytic aspects though they have unavoidable overlaps because there is no clearcut distinction between the two methods. Specifically, Part 1 treats the deformation theory, existence and geometry of rational curves via characteristic p, while Part 2 is principally concerned with vanishing theorems and their geometric applications. Part I Geometry of Rational Curves on Varieties Yoichi Miyaoka RIMS Kyoto University 606-01 Kyoto Japan Introduction: Why Rational Curves? This note is based on a series of lectures given at the Mathematisches Forschungsin stitut at Oberwolfach, Germany, as a part of the DMV seminar "Mori Theory". The construction of minimal models was discussed by T.
Author : Daniel James Bates
Publisher : American Mathematical Soc.
ISBN 13 : 0821847465
Total Pages : 379 pages
Book Rating : 4.8/5 (218 download)
Download or read book Interactions of Classical and Numerical Algebraic Geometry written by Daniel James Bates and published by American Mathematical Soc.. This book was released on 2009-09-16 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Interactions of Classical and Numerical Algebraic Geometry, held May 22-24, 2008, at the University of Notre Dame, in honor of the achievements of Professor Andrew J. Sommese. While classical algebraic geometry has been studied for hundreds of years, numerical algebraic geometry has only recently been developed. Due in large part to the work of Andrew Sommese and his collaborators, the intersection of these two fields is now ripe for rapid advancement. The primary goal of both the conference and this volume is to foster the interaction between researchers interested in classical algebraic geometry and those interested in numerical methods. The topics in this book include (but are not limited to) various new results in complex algebraic geometry, a primer on Seshadri constants, analyses and presentations of existing and novel numerical homotopy methods for solving polynomial systems, a numerical method for computing the dimensions of the cohomology of twists of ideal sheaves, and the application of algebraic methods in kinematics and phylogenetics.
Author : H. Kurke
Publisher : Springer Science & Business Media
ISBN 13 : 9400906854
Total Pages : 304 pages
Book Rating : 4.4/5 (9 download)
Download or read book Algebraic Geometry written by H. Kurke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Conference on Algebraic Geometry, held in Berlin 9-15 March 1988, was organised by the Sektion Mathematik of the Humboldt-Universitat. The organising committee consisted of H. Kurke, W. Kleinert, G. Pfister and M. Roczen. The Conference is one in a series organised by the Humboldt-Universitat at regular intervals of two or three years, with the purpose of providing a meeting place for mathematicians from eastern and western countries. The present volume contains elaborations of part of the lectures presented at the Conference and some articles on related subjects. All papers were subject to the regular refereeing procedure of Compositio Mathematica, and H. Kurke acted as a guest editor of this journal. The papers focus on actual themes in algebraic geometry and singularity theory, such as vector bundles, arithmetical algebraic geometry, intersection theory, moduli and Hodge theory. We are grateful to all those who, by their hospitality, their presence at the Con ference, their support or their written contributions, have made this Conference to a success. The editors Compositio Mathematica 76: viii, 1990.
Author : A. Libgober
Publisher : Springer
ISBN 13 : 354038720X
Total Pages : 290 pages
Book Rating : 4.5/5 (43 download)
Download or read book Algebraic Geometry written by A. Libgober and published by Springer. This book was released on 2006-11-15 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Klaus Hulek
Publisher : Springer
ISBN 13 : 3540467866
Total Pages : 184 pages
Book Rating : 4.5/5 (44 download)
Download or read book Complex Algebraic Varieties written by Klaus Hulek and published by Springer. This book was released on 2006-11-14 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Bayreuth meeting on "Complex Algebraic Varieties" focussed on the classification of algebraic varieties and topics such as vector bundles, Hodge theory and hermitian differential geometry. Most of the articles in this volume are closely related to talks given at the conference: all are original, fully refereed research articles. CONTENTS: A. Beauville: Annulation du H(1) pour les fibres en droites plats.- M. Beltrametti, A.J. Sommese, J.A. Wisniewski: Results on varieties with many lines and their applications to adjunction theory.- G. Bohnhorst, H. Spindler: The stability of certain vector bundles on P(n) .- F. Catanese, F. Tovena: Vector bundles, linear systems and extensions of (1).- O. Debarre: Vers uns stratification de l'espace des modules des varietes abeliennes principalement polarisees.- J.P. Demailly: Singular hermitian metrics on positive line bundles.- T. Fujita: On adjoint bundles of ample vector bundles.- Y. Kawamata: Moderate degenerations of algebraic surfaces.- U. Persson: Genus two fibrations revisited.- Th. Peternell, M. Szurek, J.A. Wisniewski: Numerically effective vector bundles with small Chern classes.- C.A.M. Peters: On the rank of non-rigid period maps in the weight one and two case.- A.N. Tyurin: The geometry of the special components of moduli space of vector bundles over algebraic surfaces of general type.
Author : Lebarz
Publisher : Springer Science & Business Media
ISBN 13 : 1468467263
Total Pages : 261 pages
Book Rating : 4.4/5 (684 download)
Download or read book Enumerative Geometry and Classical Algebraic Geometry written by Lebarz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce. volume. u.t fioJtme de. la Ve. M-ion de6~ve. du .te.x.tu du cOn6Vte.n.cV6 fia-i.tu a N-ice. au cowu., d' un CoUoque. qu-i f.>' Ij u.t .te.n.u du 23 au 27 Ju-in 1981. Comme. Ie. f.>ugge. ILe. Mn ~e., Ie. f.>uje.t, volon.t~e.me.n.t ILU.tfLe.-in.t, gfLav-i.ta-i.t gILof.>f.>o-modo au.toulL du upacu pILoje.c.t-i6f.> de. pe.t-i.te. d-ime.n f.>-ion e.t du co UfLbe.f.>, ce.la f.>UfL un COfLpf.> aigebfL-ique.me.n.t elM. Ii f.>e.mble. que. ce. cho-ix deUbVte a-i.t Ue b-ie.n accu~ danf.> I' e.nf.>e.mble. pM lu pa. Jt:ttupan.tf.>. Le. Colloque. a IL(LMe.mble une. M-ixan.ta-in.e. de. f.>peu~.tu ve.n.uf.> de. d-i66eILe.n.tf.> paljf.> e.t nouf.> noUf.> f.>ommu e.n pa. Jt:ttcuUe.fL ILejo~ de. l'-im pofL.tan.te. pa. Jt:ttc-ipatio n de. nof.> vo~-inf.> -i.taUe.nf.>. Le. pIL06Uf.>e. UfL VIEuVONNE n'aljaYt.t paf.> pu pa. Jt:ttupe.fL au colloque.
Author : János Kollár
Publisher : Princeton University Press
ISBN 13 : 0691246831
Total Pages : 241 pages
Book Rating : 4.6/5 (912 download)
Download or read book What Determines an Algebraic Variety? written by János Kollár and published by Princeton University Press. This book was released on 2023-07-25 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pioneering new nonlinear approach to a fundamental question in algebraic geometry One of the crowning achievements of nineteenth-century mathematics was the proof that the geometry of lines in space uniquely determines the Cartesian coordinates, up to a linear ambiguity. What Determines an Algebraic Variety? develops a nonlinear version of this theory, offering the first nonlinear generalization of the seminal work of Veblen and Young in a century. While the book uses cutting-edge techniques, the statements of its theorems would have been understandable a century ago; despite this, the results are totally unexpected. Putting geometry first in algebraic geometry, the book provides a new perspective on a classical theorem of fundamental importance to a wide range of fields in mathematics. Starting with basic observations, the book shows how to read off various properties of a variety from its geometry. The results get stronger as the dimension increases. The main result then says that a normal projective variety of dimension at least 4 over a field of characteristic 0 is completely determined by its Zariski topological space. There are many open questions in dimensions 2 and 3, and in positive characteristic.
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9400959885
Total Pages : 540 pages
Book Rating : 4.4/5 (9 download)
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
