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On the moduli of stable sheaves on a reducible projective scheme and examples on a reducible quadric surface

Published online by Cambridge University Press:  22 January 2016

Michi-Aki Inaba
Michi-Aki Inaba*
Affiliation:
Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan, inaba@kusm.kyoto-u.ac.jp
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Abstract

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We study the moduli space of stable sheaves on a reducible projective scheme by use of a suitable stratification of the moduli space. Each stratum is the moduli space of “triples”, which is the main object investigated in this paper. As an application, we can see that the relative moduli space of rank two stable sheaves on quadric surfaces gives a nontrivial example of the relative moduli space which is not flat over the base space.

Keywords

14D2014D0614J60
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 166 , June 2002 , pp. 135 - 181
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

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