We consider a family of polarized K3 complex surfaces X which includes all generic Kummer surfaces. We prove a non-emptiness result for the moduli space of stable vector bundles on X for small values of the second Chern class. For K3 surfaces in this family, the Fourier-Mukai transform preserves the mu-semistability of coherent sheaves. New results on quasi-homogeneous sheaves, and a novel algebraic proof of preservation of mu-stability are given as well.

Existence of μ-stable bundles on K3 surfaces and the Fourier-Mukai transform

BARTOCCI, CLAUDIO;
1998-01-01

Abstract

We consider a family of polarized K3 complex surfaces X which includes all generic Kummer surfaces. We prove a non-emptiness result for the moduli space of stable vector bundles on X for small values of the second Chern class. For K3 surfaces in this family, the Fourier-Mukai transform preserves the mu-semistability of coherent sheaves. New results on quasi-homogeneous sheaves, and a novel algebraic proof of preservation of mu-stability are given as well.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/372117
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