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

Koji Cho

doi:10.1017/S0027763000006310

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

Koji Cho

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	63-69
Number of pages	7
Journal	Nagoya Mathematical Journal
Volume	147
DOIs	https://doi.org/10.1017/S0027763000006310
Publication status	Published - Sep 1997

All Science Journal Classification (ASJC) codes

Mathematics(all)

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abstract = "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.",

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year = "1997",

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

Abstract

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