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Twisted Stability and Fourier–Mukai Transform I

Published online by Cambridge University Press:  04 December 2007

Kōta Yoshioka
Kōta Yoshioka
Affiliation:
Department of Mathematics, Faculty of Science, Kobe University, Kobe, 657, Japan. e-mail: yoshioka@math.kobe-u.ac.jp
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Abstract

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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 functormoduli of sheaves
Type
Research Article
Information
Compositio Mathematica , Volume 138 , Issue 3 , September 2003 , pp. 261 - 288
Copyright
© 2003 Kluwer Academic Publishers