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Lectures on Hilbert Schemes of Points on Surfaces
Language: en
Pages: 146
Authors: Hiraku Nakajima
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: American Mathematical Soc.

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It has been realized that Hilbert schemes originally studied in algebraic geometry are closely related to several branches of mathematics, such as singularities
Lectures on K3 Surfaces
Language: en
Pages: 499
Authors: Daniel Huybrechts
Categories: Mathematics
Type: BOOK - Published: 2016-09-26 - Publisher: Cambridge University Press

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K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi–Yau manifolds from various perspectives in eig
The Geometry of Moduli Spaces of Sheaves
Language: en
Pages: 345
Authors: Daniel Huybrechts
Categories: Mathematics
Type: BOOK - Published: 2010-05-27 - Publisher: Cambridge University Press

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This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the
Lectures on Formal and Rigid Geometry
Language: en
Pages: 255
Authors: Siegfried Bosch
Categories: Mathematics
Type: BOOK - Published: 2014-08-22 - Publisher: Springer

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The aim of this work is to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, t
Fundamental Algebraic Geometry
Language: en
Pages: 354
Authors: Barbara Fantechi
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher: American Mathematical Soc.

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Presents an outline of Alexander Grothendieck's theories. This book discusses four main themes - descent theory, Hilbert and Quot schemes, the formal existence