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Twisted stability and Fourier-Mukai transform II

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Abstract.

 In this note, we define the twisted stability for a purely 1-dimensional sheaf and study the problem of the preservation of the stability condition under the relative Fourier-Mukai transform on an elliptic surface. As an application, we compute the Hodge polynomials of some moduli spaces of sheaves on an elliptic surface. We also construct the moduli space of twisted semi-stable sheaves.

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Authors and Affiliations

  1. Department of mathematics, Faculty of Science, Kobe University, Kobe, 657, Japan. e-mail: yoshioka@math.kobe-u.ac.jp, , , , , , JP

    Kōta Yoshioka

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  1. Kōta Yoshioka
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Received: 29 January 2002 / Revised version: 16 October 2002 Published online: 24 January 2003

Mathematics Subject Classification (2000): 14D20

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Yoshioka, K. Twisted stability and Fourier-Mukai transform II. manuscripta math. 110, 433–465 (2003). https://doi.org/10.1007/s00229-002-0340-6

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  • DOI: https://doi.org/10.1007/s00229-002-0340-6

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