Preface to the second edition Preface to the first edition Introduction Part I. General Theory: 1. Preliminaries 2. Families of sheaves 3. The Grauert-Mullich Theorem 4. Moduli spaces Part II. Sheaves on Surfaces: 5. Construction methods 6. Moduli spaces on K3 surfaces 7. Restriction of sheaves to curves 8. Line bundles on the moduli space 9. Irreducibility and smoothness 10. Symplectic structures 11. Birational properties Glossary of notations References Index.

background

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Theta‐Characteristics and Stable Vector Bundles

The geometry of moduli spaces of sheaves

It is shown that the theta functions of level is odd, the Pfaffian line bundle on moduli space has a basis of sections labelled by the even theta characteristics of the curve.

Spin Verlinde Spaces and Prym Theta Functions

Theta functions of level n on the principally polarised Prym varieties of an algebraic curve are dual to sections of the orthogonal theta line bundle on the moduli space of Spin(n)-bundles over the curve. As a by-product of our computations we also note that when n is odd the pfaffian line bundle on moduli space has a basis of sections labelled by the even theta characteristics of the curve.

Spin Verlinde spaces and Prym theta functions

https://www.intlpress.com/site/pub/files/_fulltext/journals/ajm/2004/0008/0003/AJM-2004-0008-0003-a002.pdf

Theta‐Characteristics and Stable Vector Bundles

Citations

The geometry of moduli spaces of sheaves

Spin Verlinde Spaces and Prym Theta Functions

Spin Verlinde spaces and Prym theta functions

Anticanonical divisors of a moduli space of parabolic vector bundles of half weight on ℙ 1

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