Examples of smooth components of moduli spaces of stable sheaves

Abstract

Let M be a projective fine moduli space of stable sheaves on a smooth projective variety X with a universal family E. We prove that in four examples, E can be realized as a complete flat family of stable sheaves on M parametrized by X, which identifies X with a smooth connected component of some moduli space of stable sheaves on M.

Minor improvements incorporated according to referee's suggestions. To appear in manuscripta mathematica. 16 pages