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Geometric invariant theory and decorated principal bundles/ Alexander H.W. Schmitt.

By: Series: Zürich lectures in advanced mathematicsPublication details: Zürich: European Mathematical Society, 2008.Description: vii, 389 pages: illustrations; 25 cmISBN:
  • 9783037190654
  • 3037190655
Subject(s): DDC classification:
  • 516.35 S355g
Online resources:
Contents:
Algebraic groups and their representations -- Geometric invariant theory for affine varieties : a first encounter -- Examples from classical invariant theory -- Mumford's geometric invariant theory -- Criteria for stability and semistability -- The variation of GIT-quotients -- The analysis of unstable points -- Decorated principal bundles -- Rudiments of the theory of vector bundles -- Decorated vector bundles : projective fibers -- Principal bundles as swamps -- Decorated tuples of vector bundles : projective fibers -- Principal bundles as tumps -- Decorated principal bundles : projective fibers -- Decorated principal bundles : affine fibers .
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Item type Current library Collection Call number Copy number Status Date due Barcode
Books Books Castorina Estantes Abertas (Open Shelves) Livros (Books) 516.35 S355g 2008 IMPA (Browse shelf(Opens below)) 1 Available 39063000681851
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516.35 S324c 2003 IMPA Computational algebraic geometry/ 516.35 S326c 2010 IMPA Complex multiplication/ 516.35 S355e 2003 IMPA Elliptic curves: a computational approach/ 516.35 S355g 2008 IMPA Geometric invariant theory and decorated principal bundles/ 516.35 S368b 2020 IMPA Berkeley lectures on p-adic geometry/ 516.35 S384k 1979 IMPA Kalkül der abzählenden Geometrie/ 516.35 S455l 1948 IMPA Lezioni di geometria moderna/

Includes bibliographical references (pages 363-377) and index.

Algebraic groups and their representations -- Geometric invariant theory for affine varieties : a first encounter -- Examples from classical invariant theory -- Mumford's geometric invariant theory -- Criteria for stability and semistability -- The variation of GIT-quotients -- The analysis of unstable points -- Decorated principal bundles -- Rudiments of the theory of vector bundles -- Decorated vector bundles : projective fibers -- Principal bundles as swamps -- Decorated tuples of vector bundles : projective fibers -- Principal bundles as tumps -- Decorated principal bundles : projective fibers -- Decorated principal bundles : affine fibers .

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