Isolated Singular Points on Complete Intersections

Author: Eduard Looijenga
Publisher: Cambridge University Press
ISBN: 0521286743
Format: PDF
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This book will be of use to professional mathematicians working in algebraic geometry, complex-analytical geometry and, to some extent, differential analysis.

Singularity Theory

Author: Charles Terence Clegg Wall
Publisher: Cambridge University Press
ISBN: 9780521658881
Format: PDF, ePub, Mobi
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An up-to-date survey of research in singularity theory.

Singularities of Plane Curves

Author: Eduardo Casas-Alvero
Publisher: Cambridge University Press
ISBN: 9780521789592
Format: PDF, Mobi
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Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.

Lectures on the Ricci Flow

Author: Peter Topping
Publisher: Cambridge University Press
ISBN: 0521689473
Format: PDF, ePub, Docs
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An introduction to Ricci flow suitable for graduate students and research mathematicians.

Algebraic Cycles and Motives

Author: Jan Nagel
Publisher: Cambridge University Press
ISBN: 0521701740
Format: PDF, Kindle
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This 2007 book is a self-contained account of the subject of algebraic cycles and motives.

Lectures on Invariant Theory

Author: Igor Dolgachev
Publisher: Cambridge University Press
ISBN: 9780521525480
Format: PDF, ePub, Docs
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The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.