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Some notes on the moduli of stable sheaves on elliptic surfaces

Published online by Cambridge University Press:  22 January 2016

Kōta Yoshioka
Kōta Yoshioka*
Affiliation:
Department of Mathematics, Kobe University, Kobe, 657-8501, Japan, yoshioka@math.s.kobe-u.ac.jp
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Abstract

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In this paper, we shall consider the birational structure of moduli of stable sheaves on elliptic surfaces, which is a generalization of Friedman’s results to higher rank cases. As applications, we show that some moduli spaces of stable sheaves on ℙ2 are rational. We also compute the Picard groups of those on Abelian surfaces.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 154 , 1999 , pp. 73 - 102
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1999

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