Moduli of high rank Vector bundles over Surface

1994/10/06 by D. Gieseker, Jun Li, Gieseker, David +1
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.alg-geom/9410004

Abstract

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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