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An introduction to invariants and moduli

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Author(s): Shigeru Mukai
Series: Cambridge Studies in Advanced Mathematics 81
Edition: 1
Publisher: Cambridge University Press
Year: 2006

Language: English

Title
Contents
Preface
Introduction
1. Invariants and moduli
2. Rings and polynomials
3. Algebraic varieties
4. Algebraic groups and rings of invariants
5. The construction of quotient varieties
6. The projective quotient
7. The numerical criterion and some applications
8. Grassmannians and vector bundles
9. Curves and their Jacobians
10. Stable vector bundles on curves
11. Moduli functors
12. Intersection numbers and the Verlinde formula
Bibliography
Index