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Stable vector bundles on algebraic surfaces II

Published online by Cambridge University Press:  22 January 2016

Fumio Takemoto
Fumio Takemoto*
Affiliation:
Department of Mathematics, Nagoya Institute of Technology
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This paper is a continuation of “Stable vector bundles on algebraic surfaces” [10]. For simplicity we deal with non-singular projective varieties over the field of complex numbers. Let W be a variety whose fundamental group is solvable, let H be an ample line bundle on W, and let f: V → W be an unramified covering. Then we show in section 1 that if E is an f*H-stable vector bundle on V then f*E is a direct sum of H-stable vector bundles. In particular f*L is a direct sum of simple vector bundles if L is a line bundle on V.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 52 , December 1973 , pp. 173 - 195
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1973

References

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