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Categories and Sheaves

Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and;

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Introduction to Categories, Homological Algebra and Sheaf Cohomology

Categories, homological algebra, sheaves and their cohomology furnish useful methods for attacking problems in a variety of mathematical;

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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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Cohomology and Differential Forms

of cohomological theory constitutes the central part of the book. Topics include categories and functors, the ech cohomology with coefficients in sheaves;

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Moduli Spaces Of Stable Sheaves On Schemes

filtration and generalities on boundedness of sheaves. It then presents fundamental theorems on semi-stable sheaves: restriction theorems of semi;

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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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Encyclopedia of Mathematics and its Applications Handbook of Categorical Algebra

of locales, proceeding to a study in chapter 2 of the sheaves on a locale and on a topological space, in their various equivalent presentations;

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Encyclopedia of Mathematics and its Applications Handbook of Categorical Algebra

of locales, proceeding to a study in chapter 2 of the sheaves on a locale and on a topological space, in their various equivalent presentations;

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Higher Operads, Higher Categories

Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It;

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Several Complex Variables with Connections to Algebraic Geometry and Lie Groups

the theory of coherent analytic and algebraic sheaves, proofs of the main vanishing theorems for these categories of sheaves, and a complete;

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Homology of Analytic Sheaves and Duality Theorems

. . . . . . . . .. . . . . . . . . 63 . . .;...

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

of Boeckle and Pink with the aim of introducing the sheaves-functions dictionary as quickly as possible, illustrated with elementary examples and;

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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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Intersection Homology & Perverse Sheaves

This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric;

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Intersection Homology & Perverse Sheaves

This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric;

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Bringing in Sheaves

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Recent Progress on the Donaldson-Thomas Theory

categories with respect to Bridgeland stability conditions, BPS state counting in string theory, and others. Recently, a deeper structure of the;

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Categories, Allegories

book. It is a thorough introduction to Categories, emphasizing the geometric nature of the subject and explaining its connections to;

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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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Toposes and Local Set Theories

colimits, functors, adjunctions, Cartesian closed categories, and Galois connections. Succeeding chapters examine the concept of topos, local set;

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Toposes and Local Set Theories

colimits, functors, adjunctions, Cartesian closed categories, and Galois connections. Succeeding chapters examine the concept of topos, local set;

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A Study in Derived Algebraic Geometry

is obtained. This volume consists of two parts. The first part introduces the notion of ind-scheme and extends the theory of ind-coherent sheaves to;

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