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Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also;

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Algebraic Geometry & Arithmetic Curves

This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with the theory of schemes;

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Manifolds, Sheaves, and Cohomology

difference between local and global questions. Cohomology theory of sheaves is introduced and its usage is illustrated by many examples.;

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Geometry Of Moduli Spaces Of Sheaves

schemes of points on surfaces, derived categories of coherent sheaves, and moduli spaces of sheaves on Calabi-Yau threefolds. The authors review;

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Algebraic Curves and Riemann Surfaces

are presented in the first chapters. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic;

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Sheaves and Functions Modulo P: Lectures on the Woods Hole Trace Formula

The Woods Hole trace formula is a Lefschetz fixed-point theorem for coherent cohomology on algebraic varieties. It leads to a version;

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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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Introduction to Algebraic Geometry

are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on;

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Cohomology and Differential Forms

This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. Based on;

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Sheaves in Geometry and Logic: A First Introduction to Topos Theory

Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds;

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Algebraic Geometry

necessary from this point on. The last chapter is on sheaves and cohomology, providing a hint of current work in algebraic geometry. This book;

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Introduction to Algebraic Curves

proceed to more advanced texts in general algebraic geometry, complex manifolds, and Riemann surfaces, as well as algebraic curves. Containing;

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Intersection Homology & Perverse Sheaves

homology from a geometric and topological viewpoint, the text goes on to develop the sheaf-theoretical perspective. Then algebraic geometry comes;

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Intersection Homology & Perverse Sheaves

homology from a geometric and topological viewpoint, the text goes on to develop the sheaf-theoretical perspective. Then algebraic geometry comes;

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Several Complex Variables with Connections to Algebraic Geometry and Lie Groups

This text presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs;

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A Study in Derived Algebraic Geometry

context of derived algebraic geometry. To that end, it introduces the notion of inf-scheme, which is an infinitesimal deformation of a scheme and;

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Principles of Complex Analysis

stresses the aspects of complex analysis that are most important for the student planning to study algebraic geometry and related topics. The;

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Principles of Complex Analysis

stresses the aspects of complex analysis that are most important for the student planning to study algebraic geometry and related topics. The;

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Algebraic Geometry

Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that;

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Algebraic Surfaces

Lectures: A. Beauville: Surfaces algebriques complexes.- F.A. Bogomolov: The theory of invariants and its applications to some problems;

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Étale Cohomology

algebraic fundamental group. The next two chapters concern the basic theory of etale sheaves and elementary etale cohomology, and are followed by an;

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Algebraic Geometry 1, Volume 1

This is the first of three volumes on algebraic geometry. The second volume, Algebraic Geometry 2: Sheaves and Cohomology , is available;

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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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Hodge Theory And Complex Algebraic Geome

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on;

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Hodge Theory & Complex Algebraic Geom 2

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on;

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Etale Cohomology (PMS-33), Volume 33

algebraic fundamental group. The next two chapters concern the basic theory of etale sheaves and elementary etale cohomology, and are followed by an;

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Compact Riemann Surfaces

, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. The book is unique among textbooks on Riemann surfaces in its;

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