## Table of contents for Lectures on vector bundles / J. Le Potier ; translated by A. Maciocia.

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Part I. Vector Bundles On Algebraic Curves: 1. Generalities
2. The Riemann-Roch formula
3. Topological
4. The Hilbert scheme
5. Semi-stability
6. Invariant geometry
7. The construction of M(r,d)
8. Study of M(r,d)
Part II. Moduli Spaces Of Semi-Stable Sheaves On The Projective Plane
9. Introduction
10. Operations on semi-stable sheaves
11. Restriction to curves
12. Bogomolov's theorem
13. Bounded families
14. The construction of the moduli space
15. Differential study of the Shatz stratification
16. The conditions for existence
17. The irreducibility
18. The Picard group
Bibliography.

Library of Congress subject headings for this publication: Vector bundles