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First Chern class and holomorphic tensor fields

Published online by Cambridge University Press:  22 January 2016

Shoshichi Kobayashi*
Affiliation:
University of California, Berkeley
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Let M be an n-dimensional compact Kaehler manifold, TM its (holomorphic) tangent bundle and T*M its cotangent bundle. Given a complex vector bundle E over M, we denote its m-th symmetric tensor power by SmE and the space of holomorphic sections of E by Γ(E).

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Research Article
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Copyright © Editorial Board of Nagoya Mathematical Journal 1980