Derived Algebraic Geometry

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A Study in Derived Algebraic Geometry
Language: en
Pages: 533
Authors: Dennis Gaitsgory
Categories: Mathematics
Type: BOOK - Published: 2019-12-31 - Publisher: American Mathematical Society

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Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics, most prom
Motivic Homotopy Theory
Language: en
Pages: 228
Authors: Bjorn Ian Dundas
Categories: Mathematics
Type: BOOK - Published: 2007-07-11 - Publisher: Springer Science & Business Media

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This book is based on lectures given at a summer school on motivic homotopy theory at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002. Aimed at gr
A Study in Derived Algebraic Geometry
Language: en
Pages: 436
Authors: Dennis Gaitsgory
Categories: Mathematics
Type: BOOK - Published: 2020-10-07 - Publisher: American Mathematical Society

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Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in other parts of mathematics, most promin
Homotopical Algebraic Geometry II: Geometric Stacks and Applications
Language: en
Pages: 242
Authors: Bertrand Toën
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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This is the second part of a series of papers called "HAG", devoted to developing the foundations of homotopical algebraic geometry. The authors start by defini
Fourier-Mukai Transforms in Algebraic Geometry
Language: en
Pages: 316
Authors: Daniel Huybrechts
Categories: Mathematics
Type: BOOK - Published: 2006-04-20 - Publisher: Oxford University Press

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This work is based on a course given at the Institut de Mathematiques de Jussieu, on the derived category of coherent sheaves on a smooth projective variety. It