Moduli of high rank Vector bundles over Surface

Mathematics – Algebraic Geometry

Scientific paper

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51 pages, AmsTex

Scientific paper

This is the revised version of our previous preprint. In this paper, we
establish a generic smoothness result for moduli space of semistable sheaves of
arbitrary rank over surfaces provided that the second Chern class of the
sheaves is sufficiently large. The theorem is proved using degeneration theory.

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