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A Note on Holomorphic Vector Bundles Over Quotient Manifolds With Respect to Nilpotent Groups

Published online by Cambridge University Press:  22 January 2016

Hisasi Morikawa
Hisasi Morikawa*
Affiliation:
Nagoya University
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A holomorphic vector bundle E over a complex analytic manifold is said to be simple, if its global endomorphism ring Endc (E) is isomorphic to C. Projectifying the fibers of E, we get the associated projective bundle P(E) of E, If we can choose a system of constant transition functions of P(Exs), the projective bundle P(E) is said to be locally flat.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 48 , December 1972 , pp. 183 - 188
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1972

References

[1] Curtis, and Reiner, , Representation theory of finite groups and associative algebras, New York/London, 1962.Google Scholar
[2] Morikawa, H., A note on holomorphic vector bundles over complex tori, Nagoya Math. J. Vol. 41 (1170), 101–106.CrossRefGoogle Scholar