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Stable vector bundles on an algebraic surface

Published online by Cambridge University Press:  22 January 2016

Masaki Maruyama
Masaki Maruyama*
Affiliation:
Department of Mathematics, Kyoto University
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Let X be a non-singular projective algebraic curve over an algebraically closed field k. D. Mumford introduced the notion of stable vector bundles on X as follows;

DEFINITION ([7]). A vector bundle E on X is stable if and only if for any non-trivial quotient bundle F of E,

where deg ( • ) denotes the degree of the first Chern class of a vector bundles and r( • ) denotes the rank of a vector bundle.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 58 , September 1975 , pp. 25 - 68
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1975

References

Blbliography

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