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Introduction to moduli problems and orbit spaces / P.E. Newstead.

By: Newstead, P. E.
Contributor(s): Tata Institute of Fundamental Research | American Mathematical Society.
Series: TIFR lectures on mathematics.Publisher: New Delhi : Narosa Publishing House, 2012Description: viii, 153 p. ; 24 cm.ISBN: 9788184871623.Subject(s): Moduli theory | Algebraic Geometry | Varieties (Universal algebra)DDC classification: 516.35
Contents:
1. The concept of moduli-- 2. Endomorphisms of vector spaces-- 3. Quotients-- 4. Examples-- 5. Vector bundles over a curve-- Bibliography-- List of symbols-- Index.
Summary: 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.
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Item type Current location Call number Status Date due Barcode Item holds
Books Books ISI Library, Kolkata
 
516.35 N558 (Browse shelf) Available 135553
Books Books ISI Library, Kolkata
 
516.35 N558 (Browse shelf) Available 135554
Total holds: 0

Includes bibliographical references and index.

1. The concept of moduli--
2. Endomorphisms of vector spaces--
3. Quotients--
4. Examples--
5. Vector bundles over a curve--

Bibliography--
List of symbols--
Index.

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.

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