Twisted stability and Fourier-Mukai transform

Details Twisted stability and Fourier-Mukai transform Twisted stability and Fourier-Mukai transform

2001-06-14

arxiv.org/abs/math/0106118v1

Mathematics

Algebraic Geometry

28 pages

Scientific paper

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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