Compact moduli spaces of stable sheaves over non-algebraic surfaces
Documenta mathematica, Tome 6 (2001), pp. 9-27.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We show that under certain conditions on the topological invariants, the moduli spaces of stable bundles over polarized non-algebraic surfaces may be compactified by allowing at the border isomorphy classes of stable non-necessarily locally-free sheaves. As a consequence, when the base surface is a primary Kodaira surface, we obtain examples of moduli spaces of stable sheaves which are compact holomorphically symplectic manifolds.
Classification : 32C13
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     author = {Toma, Matei},
     title = {Compact moduli spaces of stable sheaves over non-algebraic surfaces},
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     year = {2001},
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Toma, Matei. Compact moduli spaces of stable sheaves over non-algebraic surfaces. Documenta mathematica, Tome 6 (2001), pp. 9-27. http://geodesic.mathdoc.fr/item/DOCMA_2001__6__a20/