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Vector Bundles on Curves - New Directions

The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from;

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Cambridge Studies in Advanced Mathematics

This work consists of two courses on the moduli spaces of vector bundles. The first part tackles the classification of vector bundles on;

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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves

, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves. It contains a complete;

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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves

, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves. It contains a complete;

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London Mathematical Society Lecture Note Series

Symposium on Vector Bundles in Algebraic Geometry brought together some of the leading researchers in the field to explore further these;

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Flat Rank Two Vector Bundles on Genus Two Curves

isomonodromic foliation in the moduli space of vector bundles with $mathfrak sl_2$-connection over curves of genus 2 and prove the transversality of the;

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Collected Papers of C. S. Seshadri

. Geometric reductivity over arbitrary base, Advances in Maths., 26 (1977) 225-274. 24. Moduli of vector bundles on curves with parabolic;

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Moduli Spaces Of Stable Sheaves On Schemes

The notion of stability for algebraic vector bundles on curves was originally introduced by Mumford, and moduli spaces of semi-stable;

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Lectures on Vector Bundles over Riemann Surfaces. (MN-6)

The description for this book, Lectures on Vector Bundles over Riemann Surfaces. (MN-6), will be forthcoming.;

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Representations of Elementary Abelian P -groups and Vector Bundles

producing and examining vector bundles on projective space and their Chern classes. Extensive background material is provided, which will help the;

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Fibre Bundles

gauge group of a bundle and the other on the differential forms representing characteristic classes of complex vector bundles on manifolds.;

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Fundamentals of Advanced Mathematics V3

sections on differential and analytic manifolds, vector bundles, tensors, Lie derivatives, applications to algebraic topology, and more

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Moduli of Vector Bundles

developments concerning moduli spaces of vector bundles or instantons and their application. Covers a broad array of topics in both differential and;

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Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration

moduli space of semistable holomorphic vector bundles, and to Hitchin's theory on Higgs bundles. The relationship between the notion of stability;

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Metric Structures in Differential Geometry

, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres.;

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Algebraic Curves

geometry, but which is sufficient for extending them to vector bundles and other geometric objects associated to moduli spaces. Nevertheless, it;

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An Introduction to Invariants and Moduli

such as vector bundles on curves will find this to be a valuable resource. Amongst other things this volume includes an improved presentation;

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An Introduction to Invariants and Moduli

such as vector bundles on curves will find this to be a valuable resource. Amongst other things this volume includes an improved presentation;

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Moduli Spaces and Vector Bundles

Vector bundles and their associated moduli spaces are of fundamental importance in algebraic geometry. In recent decades this subject has;

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Helices and Vector Bundles

This volume is devoted to the use of helices as a method for studying exceptional vector bundles, an important and natural concept;

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Topics in Algebraic and Analytic Geometry. (MN-13): Notes From a Course of Phillip Griffiths

sequence; 7.3 K-theory on algebraic varieties; 8.1 Stein manifold theory; 8.2 holomorphic vector bundles on polydisks; 9.1 concluding remarks;

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Topics in Algebraic and Analytic Geometry. (MN-13): Notes From a Course of Phillip Griffiths

sequence; 7.3 K-theory on algebraic varieties; 8.1 Stein manifold theory; 8.2 holomorphic vector bundles on polydisks; 9.1 concluding remarks;

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Algebraic And Arithmetic Structures Of Moduli Spaces (Sapporo 2007)

of complex vector bundles, moduli of abelian varieties and theory of display, moduli of Fermat varieties and some topics on cubic threefolds. Among;

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The Geometry of Jet Bundles

introductory chapters include the necessary background of fibred manifolds, and on vector and affine bundles. Coordinate-free techniques are used;

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Manifolds And Local Structures

Local structures, like differentiable manifolds, fibre bundles, vector bundles and foliations, can be obtained by gluing together a family;

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Automorphic Forms & Galois Representati

in volume two include curves and vector bundles in p-adic Hodge theory, associators, Shimura varieties, the birational section conjecture, and other;

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Einstein Metrics and Yang-Mills Connections

; explores algebraic geometric treatments of holomorphic vector bundles on curves and surfaces; addresses nonlinear problems related to Mong-Ampere;

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