Constructing Vector Bundles from Codimension-two Subvarieties

Constructing Vector Bundles from Codimension-two Subvarieties PDF Author: Johannes Albert Vogelaar
Publisher:
ISBN:
Category : Vector bundles
Languages : en
Pages : 54

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Constructing Vector Bundles from Codimension-two Subvarieties

Constructing Vector Bundles from Codimension-two Subvarieties PDF Author: Johannes Albert Vogelaar
Publisher:
ISBN:
Category : Vector bundles
Languages : en
Pages : 54

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Book Description


Vector Bundles and Differential Equations

Vector Bundles and Differential Equations PDF Author: André Hirschowitz
Publisher: Springer Science & Business Media
ISBN: 1468494155
Category : Mathematics
Languages : en
Pages : 252

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Holomorphic Vector Bundles over Compact Complex Surfaces

Holomorphic Vector Bundles over Compact Complex Surfaces PDF Author: Vasile Brinzanescu
Publisher: Springer
ISBN: 3540498451
Category : Mathematics
Languages : en
Pages : 175

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Book Description
The purpose of this book is to present the available (sometimes only partial) solutions to the two fundamental problems: the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface. Special features of the nonalgebraic surfaces case, like irreducible vector bundles and stability with respect to a Gauduchon metric, are considered. The reader requires a grounding in geometry at graduate student level. The book will be of interest to graduate students and researchers in complex, algebraic and differential geometry.

Subvarieties of Codimension Two and Vector Bundles of Rank Two on Grassman Varieties

Subvarieties of Codimension Two and Vector Bundles of Rank Two on Grassman Varieties PDF Author: Amy Pollack
Publisher:
ISBN:
Category :
Languages : en
Pages : 164

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Deformation of Artinian Algebras and Jordan Type

Deformation of Artinian Algebras and Jordan Type PDF Author: Anthony Iarrobino
Publisher: American Mathematical Society
ISBN: 1470473569
Category : Mathematics
Languages : en
Pages : 254

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Book Description
This volume contains the proceedings of the AMS-EMS-SMF Special Session on Deformations of Artinian Algebras and Jordan Type, held July 18?22, 2022, at the Universit‚ Grenoble Alpes, Grenoble, France. Articles included are a survey and open problems on deformations and relation to the Hilbert scheme; a survey of commuting nilpotent matrices and their Jordan type; and a survey of Specht ideals and their perfection in the two-rowed case. Other articles treat topics such as the Jordan type of local Artinian algebras, Waring decompositions of ternary forms, questions about Hessians, a geometric approach to Lefschetz properties, deformations of codimension two local Artin rings using Hilbert-Burch matrices, and parametrization of local Artinian algebras in codimension three. Each of the articles brings new results on the boundary of commutative algebra and algebraic geometry.

Algebraic Geometry

Algebraic Geometry PDF Author: Spencer Bloch
Publisher: American Mathematical Soc.
ISBN: 082181480X
Category : Mathematics
Languages : en
Pages : 521

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Vector Bundles and Low Codimensional Subvarieties

Vector Bundles and Low Codimensional Subvarieties PDF Author: Gianfranco Casnati
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 412

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Positivity in Algebraic Geometry I

Positivity in Algebraic Geometry I PDF Author: R.K. Lazarsfeld
Publisher: Springer
ISBN: 3642188087
Category : Mathematics
Languages : en
Pages : 395

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Book Description
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.

Motives and Algebraic Cycles

Motives and Algebraic Cycles PDF Author: Rob de Jeu
Publisher: American Mathematical Soc.
ISBN: 0821844946
Category : Mathematics
Languages : en
Pages : 354

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Book Description
Spencer J. Bloch has, and continues to have, a profound influence on the subject of Algebraic $K$-Theory, Cycles and Motives. This book, which is comprised of a number of independent research articles written by leading experts in the field, is dedicated in his honour, and gives a snapshot of the current and evolving nature of the subject. Some of the articles are written in an expository style, providing a perspective on the current state of the subject to those wishing to learn more about it. Others are more technical, representing new developments and making them especially interesting to researchers for keeping abreast of recent progress.

Vector Bundles and Complex Geometry

Vector Bundles and Complex Geometry PDF Author: Oscar García-Prada
Publisher: American Mathematical Soc.
ISBN: 0821847503
Category : Mathematics
Languages : en
Pages : 218

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Book Description
This volume contains a collection of papers from the Conference on Vector Bundles held at Miraflores de la Sierra, Madrid, Spain on June 16-20, 2008, which honored S. Ramanan on his 70th birthday. The main areas covered in this volume are vector bundles, parabolic bundles, abelian varieties, Hilbert schemes, contact structures, index theory, Hodge theory, and geometric invariant theory. Professor Ramanan has made important contributions in all of these areas.