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A generalization of Kita and Noumi’s vanishing theorems of cohomology groups of local system

Published online by Cambridge University Press:  22 January 2016

Koji Cho
Koji Cho*
Affiliation:
Graduate School of Mathematics, Kyushu University, Fukuoka 810, Japan, cho@math.kyushu-u.ac.jp
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Abstract

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We prove vanishing theorems of cohomology groups of local system, which generalize Kita and Noumi’s result and partially Aomoto’s result. Main ingredients of our proof are the Hodge to de Rham spectral sequence and Serre’s vanishing theorem in algebraic geometry.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 147 , September 1997 , pp. 63 - 69
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

References

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