Lectures On Introduction To Moduli Problems And Orbit Spaces

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Introduction To Moduli Problems And Orbit Spaces

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Author : P. E. Newstead
language : en
Publisher: Alpha Science International Limited
Release Date : 2012

Introduction To Moduli Problems And Orbit Spaces written by P. E. Newstead and has been published by Alpha Science International Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

Geometric Invariant Theory (GIT), developed in the 1960s by David Mumford, is the theory of quotients by group actions in Algebraic Geometry. Its principal application is to the construction of various moduli spaces. Peter Newstead gave a series of lectures in 1975 at the Tata Institute of Fundamental Research, Mumbai on GIT and its application to the moduli of vector bundles on curves. It was a masterful yet easy to follow exposition of important material, with clear proofs and many examples. The notes, published as a volume in the TIFR lecture notes series, became a classic, and generations of algebraic geometers working in these subjects got their basic introduction to this area through these lecture notes. Though continuously in demand, these lecture notes have been out of print for many years. The Tata Institute is happy to re-issue these notes in a new print.

Lectures On Introduction To Moduli Problems And Orbit Spaces

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Author : P. E. Newstead
language : en
Publisher:
Release Date : 1978

Lectures On Introduction To Moduli Problems And Orbit Spaces written by P. E. Newstead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Algebraic spaces categories.

Lectures On Introduction To Moduli Problems And Orbit Spaces

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Author : P. E. Newstead
language : en
Publisher:
Release Date : 1978

Lectures On Introduction To Moduli Problems And Orbit Spaces written by P. E. Newstead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.

Lectures On Riemann Surfaces Proceedings Of The College On Riemann Surfaces

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Author : Maurizio Cornalba
language : en
Publisher: World Scientific
Release Date : 1989-06-01

Lectures On Riemann Surfaces Proceedings Of The College On Riemann Surfaces written by Maurizio Cornalba and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-06-01 with Mathematics categories.

Lectures On Invariant Theory

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Author : Igor Dolgachev
language : en
Publisher: Cambridge University Press
Release Date : 2003-08-07

Lectures On Invariant Theory written by Igor Dolgachev and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-07 with Mathematics categories.

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.

Algebraic Cycles Sheaves Shtukas And Moduli

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Author : Piotr Pragacz
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-12

Algebraic Cycles Sheaves Shtukas And Moduli written by Piotr Pragacz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-12 with Mathematics categories.

Articles examine the contributions of the great mathematician J. M. Hoene-Wronski. Although much of his work was dismissed during his lifetime, it is now recognized that his work offers valuable insight into the nature of mathematics. The book begins with elementary-level discussions and ends with discussions of current research. Most of the material has never been published before, offering fresh perspectives on Hoene-Wronski’s contributions.

Compactifying Moduli Spaces

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Author : Paul Hacking
language : en
Publisher: Birkhäuser
Release Date : 2016-02-04

Compactifying Moduli Spaces written by Paul Hacking and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-04 with Mathematics categories.

This book focusses on a large class of objects in moduli theory and provides different perspectives from which compactifications of moduli spaces may be investigated. Three contributions give an insight on particular aspects of moduli problems. In the first of them, various ways to construct and compactify moduli spaces are presented. In the second, some questions on the boundary of moduli spaces of surfaces are addressed. Finally, the theory of stable quotients is explained, which yields meaningful compactifications of moduli spaces of maps. Both advanced graduate students and researchers in algebraic geometry will find this book a valuable read.

The Geometry Of Moduli Spaces Of Sheaves

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Author : Daniel Huybrechts
language : en
Publisher: Cambridge University Press
Release Date : 2010-05-27

The Geometry Of Moduli Spaces Of Sheaves written by Daniel Huybrechts and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-27 with Mathematics categories.

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 field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.

Representations Of Algebras

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Author : Vlastimil Dlab
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Representations Of Algebras written by Vlastimil Dlab and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

The Sixth International Conference on Representations of Algebras was held at Carleton University in Ottawa, Canada, in August 1992. This refereed volume contains papers presented at the conference, as well as a number of papers submitted after the conference. Describing developments at the forefront of the field, this book will be of interest to algebraists working in the field of representation theory.