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Introduction 1
1 Geometric Invariant Theory 17
1.1 Algebraic Groups and their Representations 17
1.2 Geometric Invariant Theory for Affine Varieties - A First Encounter 30
1.3 Examples from Classical Invariant Theory 34
1.4 Mumford's Geometric Invariant Theory 49
1.5 Criteria for Stability and Semistability 66
1.6 The Variation of GIT-Quotients 92
1.7 The Analysis of Unstable Points 95
2 Decorated Principal Bundles 103
2.2 Rudiments of the Theory of Vector Bundles 118
2.3 Decorated Vector Bundles: Projective Fibers 135
2.4 Principal Bundles as Swamps 174
2.5 Decorated Tuples of Vector Bundles: Projective Fibers 210
2.6 Principal Bundles as Tumps 257
2.7 Decorated Principal Bundles: Projective Fibers 266
2.8 Decorated Principal Bundles: Affine Fibers 288
2.9 More Generalizations 321
Bibliography 363
Index 379
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Add Geometric Invariant Theory and Decorated Principal Bundles, The book starts with an introduction to Geometric Invariant Theory (GIT). The fundamental results of Hilbert and Mumford are exposed as well as more recent topics such as the instability flag, the finiteness of the number of quotients, and the variation o, Geometric Invariant Theory and Decorated Principal Bundles to the inventory that you are selling on WonderClubX
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Add Geometric Invariant Theory and Decorated Principal Bundles, The book starts with an introduction to Geometric Invariant Theory (GIT). The fundamental results of Hilbert and Mumford are exposed as well as more recent topics such as the instability flag, the finiteness of the number of quotients, and the variation o, Geometric Invariant Theory and Decorated Principal Bundles to your collection on WonderClub |