On the existence of (H,A)-stable sheaves on K3 or abelian surfaces

Markus Zowislok

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arXiv · 1302.4873

On the existence of (H,A)-stable sheaves on K3 or abelian surfaces

Markus Zowislok

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Abstract

We give an existence result on (H,A)-stable sheaves on a K3 or abelian surface X with primitive triple of invariants (rank,first Chern class,Euler characteristics) in the integral cohomology lattice. Such a result yields the existence of singular projective Q-factorial symplectic terminalisations of certain moduli spaces of sheaves on X that are Gieseker semistable with respect to a nongeneral ample divisor.

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Markus Zowislok. 2013-02-20. On the existence of (H,A)-stable sheaves on K3 or abelian surfaces. https://arxiv.org/abs/1302.4873

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