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Boundedness of semi-stable sheaves of small ranks

Published online by Cambridge University Press:  22 January 2016

Masaki Maruyama
Masaki Maruyama*
Affiliation:
Department of MathematicsKyoto University
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As for the construction of moduli spaces of stable sheaves, the boundedness of semi-stable sheaves is one of the most important questions which are left unanswered. In the case of dimension one, the boundedness was proved by M. F. Atiyah [1]. When the dimension of the base variety is two and the rank is two, F. Takemoto and D. Mumford showed the boundedness independently ([13]). The author proved in [7] that the boundedness holds for every rank in the case of dimension two, and then D. Gieseker gave another proof of it in [3].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 78 , May 1980 , pp. 65 - 94
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

References

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