Geodesic
Compact moduli spaces of stable sheaves over non-algebraic surfaces
Documenta mathematica, Tome 6 (2001), pp. 9-27
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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. 
@article{10_4171_dm_94,
     author = {Matei Toma},
     title = {Compact moduli spaces of stable sheaves over non-algebraic surfaces},
     journal = {Documenta mathematica},
     pages = {9--27},
     year = {2001},
     volume = {6},
     doi = {10.4171/dm/94},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/94/}
}
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Matei Toma. Compact moduli spaces of stable sheaves over non-algebraic surfaces. Documenta mathematica, Tome 6 (2001), pp. 9-27. doi: 10.4171/dm/94

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