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Algebraic Surfaces and Holomorphic Vector Bundles

Algebraic Surfaces and Holomorphic Vector Bundles more books like this

by Robert Friedman

This book covers the theory of algebraic surfaces and holomorphic vector bundles in an integrated manner. It is aimed at graduate students who have had a thorough first year course in algebraic geometry (at the level of Hartshorne's ALGEBRAIC GEOMETRY), as well as more advanced graduate students and researchers in the areas of algebraic geometry, ...

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Complex Projective Geometry: Selected Papers

Complex Projective Geometry: Selected Papers more books like this

by G Ellingsrud (Editor), C Peskine (Editor), S A Stromme (Editor)

Algebraic geometers have renewed their interest in the interplay between algebraic vector bundles and projective embeddings. New methods have been developed for questions such as: what is the geometric content of syzygies and of bundles derived from them? how can they be used for giving good compactifications of natural families? which ...

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Isomonodromic Deformations and Frobenius Manifolds: An Introduction

Isomonodromic Deformations and Frobenius Manifolds: An Introduction more books like this

by Claude Sabbah

The notion of a Frobenius structure on a complex analytic manifold appeared at the end of the seventies in the theory of singularities of holomorphic functions. Motivated by physical considerations, further development of the theory has opened new perspectives on, and revealed new links between, many apparently unrelated areas of mathematics and ...

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Moduli of Vector Bundles

Moduli of Vector Bundles more books like this

by Masaki Maruyama (Editor), Maruyama Maruyama

Contains papers presented at the 35th Taniguchi International Symposium held recently in Sanda and Kyoto, Japan. Details the latest developments concerning moduli spaces of vector bundles or instantons and their application. Covers a broad array of topics in both differential and algebraic geometry.

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Categories, Bundles and Spacetime Topology

Categories, Bundles and Spacetime Topology more books like this

by C T J Dodson

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Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor D-Modules

Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor D-Modules more books like this

by Takuro Mochizuki

The author studies the asymptotic behaviour of tame harmonic bundles. First he proves a local freeness of the prolongment of deformed holomorphic bundle by an increasing order. Then he obtains the polarized mixed twistor structure from the data on the divisors. As one of the applications, he obtains the norm estimate of holomorphic or flat ...

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Vector Bundles in Algebraic Geometry

Vector Bundles in Algebraic Geometry more books like this

by N J Hitchin (Editor), W M Oxbury (Editor), P E Newstead (Editor)

The study of vector bundles over algebraic varieties has been stimulated over the last few years by successive waves of migrant concepts, largely from mathematical physics, whilst retaining its roots in old questions concerning subvarieties of projective space. The 1993 Durham Symposium on Vector Bundles in Algebraic Geometry brought together some ...

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Schubert Varieties and Degeneracy Loci

Schubert Varieties and Degeneracy Loci more books like this

by Mr. William Fulton, Piotr Pragacz

Schubert varieties and degeneracy loci have a long history in mathematics, starting from questions about loci of matrices with given ranks. These notes, taken from a summer school in Thurnau, aim to give an introduction to these topics, and to describe late-1990s progress on these problems. There are interesting interactions with the algebra of ...

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Vector Bundles and Representation Theory: Conference on Hilbert Schemes, Vector Bundles, and Their Interplay with Representation Theory, April 5-7, 2002, University of Missouri, Columbia

Vector Bundles and Representation Theory: Conference on Hilbert Schemes, Vector Bundles, and Their Interplay with Representation Theory, April 5-7, 2002, University of Missouri, Columbia more books like this

by Steven Dale Cutkosky

This volume contains 13 papers from the conference on 'Hilbert Schemes, Vector Bundles and Their Interplay with Representation Theory'. The papers are written by leading mathematicians in algebraic geometry and representation theory and present the latest developments in the field. Among other contributions, the volume includes several very ...

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Algebraic Cycles, Sheaves, Shtukas, and Moduli: Impanga Lecture Notes

Algebraic Cycles, Sheaves, Shtukas, and Moduli: Impanga Lecture Notes more books like this

by Piotr Pragacz (Editor)

The articles in this volume are devoted to:moduli of coherent sheaves; principal bundles and sheaves and their moduli; new insights into Geometric Invariant Theory; stacks of shtukas and their compactifications; algebraic cycles vs. commutative algebra; Thom polynomials of singularities; zero schemes of sections of vector bundles. The main purpose ...

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Lectures on Vector Bundles more books like this

by Joseph Le Potier, Bela Bollobas (Editor), W Fulton (Editor)

This work consists of two courses on the moduli spaces of vector bundles. The first part tackles the classification of vector bundles on algebraic curves. The construction and elementary properties of the moduli spaces of stable bundles are also discussed. In particular, Hilbert-Grothendieck schemes of vector bundles are constructed, and Mumford's ...

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Holomorphic Vector Bundles Over Compact Complex Surfaces more books like this

by Vasile Brinzanescu

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 ...

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Helices and vector bundles Seminaire Rudakov more books like this

by 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. 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 ...

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Vector Bundles on Curves - New Directions more books like this

by Shrawan Kumar, Gerard Laumon, Ulrich Stuhler

Giving a survey of some recent developments in the theory of bundles on curves, this text deals with: the relation between conformal blocks and generalized theta functions; Drinfeld Shtukas; and Drinfeld modules and Elliptic Sheaves.

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Vector Bundles and Their Applications more books like this

by Glenys Luke, Aleksandra S Mishchenko, Alexander S Mishchenko

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 ...

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Cohomology of Vector Bundles and Syzygies more books like this

by Jerzy Weyman, Bela Bollobas (Editor), W Fulton (Editor)

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 ...

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Vector Fields and Other Vector Bundle Morphisms: A Singularity Approach more books like this

by U Koschorke

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Vector Bundles in Mathematical Physics more books like this

by Robert Hermann

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Holomorphic Vector Fields on Compact Kahler Manifolds more books like this

by Yozo Matsushima

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Noether-Lefschetz Problems for Degeneracy Loci more books like this

by J Spandaw

In this monograph, we study the cohomology of degeneracy loci of the following type. Let $X$ be a complex projective manifold of dimension $n$, let $E$ and $F$ be holomorphic vector bundles on $X$ of rank $e$ and $f$, respectively, and let $\psi\colon F\to E$ be a holomorphic homomorphism of vector bundles. Consider the degeneracy locus $Z:=D_r( ...

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Vanishing Theorems on Complex Manifolds more books like this

by Bernard Shiffman

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Differential geometry of complex vector bundles more books like this

by Kobayashi

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Singularities, representation of algebras, and vector bundles proceedings of a symposium held in Lambrecht / Pfalz ... 1985 more books like this

by Greuel, Trautmann

It is well known that there are close relations between classes of singularities and representation theory via the McKay correspondence and between representation theory and vector bundles on projective spaces via the Bernstein-Gelfand-Gelfand construction. These relations however cannot be considered to be either completely understood or fully ...

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Moduli Spaces and Vector Bundles more books like this

by Leticia Brambila-Paz (Editor), Steven B Bradlow (Editor), Oscar Garcia-Prada (Editor)

Vector bundles and their associated moduli spaces are of fundamental importance in algebraic geometry. In recent decades this subject has been greatly enhanced by its relationships with other areas of mathematics, including differential geometry, topology and even theoretical physics, specifically gauge theory, quantum field theory and string ...

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Complex Algebraic Varieties more books like this

by Klaus Hulek (Editor), Thomas Peternell (Editor), Michael Schneider (Editor)

The Bayreuth meeting on "Complex Algebraic Varieties" focused 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.

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