A Note on Singular Moduli Spaces of Sheaves on K3 Surfaces

Details A Note on Singular Moduli Spaces of Sheaves on K3 Surfaces A Note on Singular Moduli Spaces of Sheaves on K3 Surfaces

2010-11-22

arxiv.org/abs/1011.4745v1

Mathematics

Algebraic Geometry

20 pages

Scientific paper

This paper studies deformations and birational maps between singular moduli
spaces of semistable sheaves with 2-divisible Mukai vectors on K3 surfaces. It
is showed that under certain conditions, two such moduli spaces of the same
dimension can be connected by deformations and birational maps.

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