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Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31

algebraic, while the other uses the methods of symplectic geometry and Morse theory, and involves extending classical Morse theory to certain;

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Hamiltonian Group Actions and Equivariant Cohomology

This monograph could be used for a graduate course on symplectic geometry as well as for independent study. The monograph starts with an;

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Northern California Symplectic Geometry Seminar

book, including symplectic topology, Hamiltonian dynamics, quantum cohomology and mirror symmetry, infinite-dimensional symplectic geometry;

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

between algebraic, differential and symplectic geometry settings is also covered. Unstable objects in moduli problems -- a result of the;

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Complex and Symplectic Geometry

such as the cohomology of complex manifolds; analytic techniques in Kahler and non-Kahler geometry; almost-complex and symplectic structures;

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An Alpine Bouquet of Algebraic Topology

homology, intersection cohomology, and symplectic topology.;

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Symplectic, Poisson, and Noncommutative Geometry

Sciences Research Institute: Symplectic and Poisson Geometry in Interaction with Analysis, Algebra and Topology (honoring Alan Weinstein, one;

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Toric Varieties

Toric varieties form a beautiful and accessible part of modern algebraic geometry. This book covers the standard topics in toric geometry;

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Algebraic and Combinatorial Aspects of Tropical Geometry

with various areas of mathematics and physics, such as algebraic geometry, symplectic geometry, complex analysis, dynamical systems;

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Group Cohomology & Algebraic Cycles

of group cohomology and algebraic cycles. Early chapters synthesize background material from topology, algebraic geometry, and commutative algebra;

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Arithmetic Differential Equations

with infinite orbits.Any such quotient reduces to a point in algebraic geometry. But many of the above quotients cease to be trivial (and;

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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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Notes on Crystalline Cohomology. (MN-21)

spring of 1974, this book constitutes an informal introduction to a significant branch of algebraic geometry. Specifically, it provides the basic;

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Twenty-Four Hours of Local Cohomology

and characteristic $p$ methods, finiteness properties of local cohomology modules, semigroup rings and polyhedral geometry, and hypergeometric;

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Quantitative Tamarkin Theory

. Quantitative Tamarkin Theory is ideal for graduate students interested in symplectic geometry who seek an accessible alternative to the algebraic;

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Quantitative Tamarkin Theory

. Quantitative Tamarkin Theory is ideal for graduate students interested in symplectic geometry who seek an accessible alternative to the algebraic;

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

This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points;

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

This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points;

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Etale Cohomology Theory (Revised Edition)

change theorems, duality, and -adic cohomology. The prerequisites for reading this book are basic algebraic geometry and advanced commutative;

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Algebraic Geometry for Associative Algebras

This work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and;

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Lectures on Invariant Theory

assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for;

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Manifolds, Sheaves, and Cohomology

This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or;

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New Developments In Algebraic Geometry, Integrable Systems And Mirror Symmetry (Rims, Kyoto, 2008)

In the last two decades, many important developments and interactions in algebraic geometry and integrable systems have arisen from ideas;

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Representation Theory and Algebraic Geometry

development of various branches of mathematics through the use of D-modules, the affine Grassmannian, symplectic algebraic geometry, and other topics;

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Lectures on Logarithmic Algebraic Geometry

cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related;

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Selected Papers from the Journal of Differential Geometry 1967-2017, Volume 2

This volume presents twelve important papers on algebraic and complex geometry-papers that have played important roles in the development;

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Polynomial Rings and Affine Algebraic Geometry

in the fields of affine and projective algebraic geometry, as well as on certain aspects of commutative algebra, Lie theory, symplectic geometry;

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