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Twisted Stability and Fourier–Mukai Transform I
Authors:Kōta Yoshioka
Institution:(1) Department of Mathematics, Faculty of Science, Kobe University, Kobe, 657, Japan
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 stable sheaves on K3 and abelian surfaces are irreducible and (2) we compute Hodge polynomials of some moduli spaces of stable sheaves on Enriques surfaces.
Keywords:Fourier-Mukai functor  moduli of sheaves
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