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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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Flat Rank Two Vector Bundles on Genus Two Curves

the classical approaches by Narasimhan-Ramanan, Tyurin and Bertram. This allows the authors to explain a certain number of geometric phenomena;

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Collected Papers of C. S. Seshadri

the development of moduli problems and geometric invariant theory as well as representation theory of algebraic groups. The two volumes of the;

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Cambridge Studies in Advanced Mathematics

-Grothendieck schemes of vector bundles are constructed, and Mumford's geometric invariant theory is succinctly treated. The second part centres on the;

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London Mathematical Society Lecture Note Series

of the key areas of research involving vector bundles. Topics covered include those linking gauge theory and geometric invariant theory such as;

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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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Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89

This work offers a contribution in the geometric form of the theory of several complex variables. Since complex Grassmann manifolds serve;

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Geometric Analysis of Several Complex Variables and Related Topics

operator, automorphisms of hypersurfaces, holomorphic vector bundles, spaces of harmonic forms, and Gysin sequences.;

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Riemann Surfaces by Way of Complex Analytic Geometry

, finite-dimensionality of spaces of sections of holomorphic line bundles of compact Riemann surfaces and the triviality of holomorphic line;

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

Hermitian vector bundles over arithmetic curves and their theta invariants, which provides a conceptual framework to deal with the sequences;

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

Hermitian vector bundles over arithmetic curves and their theta invariants, which provides a conceptual framework to deal with the sequences;

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Geometric and Topological Methods for Quantum Field Theory

such as Dirac structures, holomorphic bundles and stability, Feynman integrals, geometric aspects of quantum field theory and the standard;

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Function Theory of Several Complex Variables

, estimates, partial differential equations, approximation theory, the boundary behavior of holomorphic functions, inner functions, invariant metrics;

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K-Theory

bundles and K-theory assuming only the rudiments of point-set topology and linear algebra. One of the features of the treatment is that no use;

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K-Theory

bundles and K-theory assuming only the rudiments of point-set topology and linear algebra. One of the features of the treatment is that no use;

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

, divisors, and maps to Pn; 5.2 Grassmanians and vector bundles; 5.3 Chern classes and curvature; 5.4 analytic cocycles; 6.1 K-theory and Bott;

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

, divisors, and maps to Pn; 5.2 Grassmanians and vector bundles; 5.3 Chern classes and curvature; 5.4 analytic cocycles; 6.1 K-theory and Bott;

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London Mathematical Society Lecture Note Series

different perspectives by leading experts. Part one of the book contains lecture notes on recent uses of torsors in geometric invariant theory and;

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The Geometry of Jet Bundles

The purpose of this book is to provide an introduction to the theory of jet bundles for mathematicians and physicists who wish to study;

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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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Differential Geometry of Complex Vector Bundles

Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also;

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Differential Geometry of Complex Vector Bundles

Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also;

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Fundamentals of Advanced Mathematics V3

>Presents an ideal prerequisite resource on the analytic and geometric study of nonlinear systems Provides theory as well as practical;

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Metric Structures in Differential Geometry

This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view;

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Dynamical Systems and Geometric Mechanics

part discusses the linearization and stability of trajectories and fixed points, invariant manifold theory, periodic orbits, Poincare maps;

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Complexes of Differential Operators

The main topic of this work is the study of general complexes of differential operators between sections of vector bundles. Although the;

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London Mathematical Society Lecture Note Series

invariant theory, and in some special cases he also determines not only the pole structure but also the principal part of the zeta function. This;

Vergelijkbare producten zoals London Mathematical Society Lecture Note Series