Twisted stability and Fourier-Mukai transform

2001/06/14 by Kota Yoshioka, Yoshioka, Kota
Mathematics · #14D20 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14D20

paper · pdf · doi:10.48550/arxiv.math/0106118

28 pages

arxiv created 2001/06/14 · arxiv updated 2009/11/30

Abstract

In this paper, we consider the preservation of stability by using the notion of Twisted stability. As applications, (1) we show that moduli spaces of vector bundles on K3 and abelian surfaces are irreducible, (2) we compute Hodge polynomials of some moduli spaces of vector bundles on Enriques surfaces and on elliptic surfaces with a section.

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