This article is cited in 3 papers

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

A. N. Tyurin


Abstract: 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.

UDC: 516.5

MSC: Primary 14J60, 32L25, 14J28, 14D20; Secondary 32L07, 14J10

Received: 29.10.1990

 English version: Mathematics of the USSR-Izvestiya, 1992, 38:3, 599–620

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