The Weil--Petersson metric on the moduli space of stable vector bundles and sheaves on an algebraic surface

A. N. Tyurin

Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 599-620.

Résumé

A twistor description of the Weil–Petersson metric on the moduli space of stable vector bundles on a K3-surface with hyper-Kahler structure is given, and this metric is extended to the compactification of the moduli space by torsion-free sheaves.

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