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

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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.

Original languageEnglish
Pages (from-to)63-69
Number of pages7
JournalNagoya Mathematical Journal
Volume147
DOIs
Publication statusPublished - Jan 1 1997

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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