Twisted stability and Fourier-Mukai transform

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.

28 pages

References in corpus (5)

• Theta functions and Hodge numbers of moduli spaces of sheaves on rational surfaces
• Irreducibility of moduli spaces of vector bundles on K3 surfaces
• The weight-two Hodge structure of moduli spaces of sheaves on a K3 surface
• Euler characteristics of SU(2) instanton moduli spaces on rational elliptic surfaces
• A new six dimensional irreducible symplectic variety

Cited by in corpus (4)

• Twisted sheaves and the period-index problem
• Non-Fine Moduli Spaces of Sheaves on K3 Surfaces
• Projective bundles over hyperkaehler manifolds and stability of Fourier-Mukai transform
• Derived and abelian equivalence of K3 surfaces