This article is cited in 27 papers

Exceptional bundles on surfaces with a moving anticanonical class

A. L. Gorodentsev


Abstract: The author studies the properties of exceptional coherent sheaves on algebraic surfaces $S$ with $\operatorname{dim}H^0(-\mathscr K_S)\geqslant2$ and describes a method for constructing infinite families of such sheaves, based on the technique developed here of reconstructions of the exceptional objects of a derived category.
Bibliography: 12 titles.

UDC: 513.6

MSC: Primary 14F05, 18F15, 55R10; Secondary 14J10, 55R65

Received: 20.07.1987

 English version: Mathematics of the USSR-Izvestiya, 1989, 33:1, 67–83

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