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

Research output: Contribution to journalArticle

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

Fingerprint

Vanishing Theorems
Local System
Cohomology of Groups
Spectral Sequence
Algebraic Geometry
Generalise
Generalization

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

A generalization of Kita and Noumi's vanishing theorems of cohomology groups of local system. / Cho, Koji.

In: Nagoya Mathematical Journal, Vol. 147, 01.01.1997, p. 63-69.

Research output: Contribution to journalArticle

@article{624ca471d6614939908a75c1010bcce6,
title = "A generalization of Kita and Noumi's vanishing theorems of cohomology groups of local system",
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.",
author = "Koji Cho",
year = "1997",
month = "1",
day = "1",
doi = "10.1017/S0027763000006310",
language = "English",
volume = "147",
pages = "63--69",
journal = "Nagoya Mathematical Journal",
issn = "0027-7630",
publisher = "Nagoya University",

}

TY - JOUR

T1 - A generalization of Kita and Noumi's vanishing theorems of cohomology groups of local system

AU - Cho, Koji

PY - 1997/1/1

Y1 - 1997/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0039468475&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039468475&partnerID=8YFLogxK

U2 - 10.1017/S0027763000006310

DO - 10.1017/S0027763000006310

M3 - Article

AN - SCOPUS:0039468475

VL - 147

SP - 63

EP - 69

JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

SN - 0027-7630

ER -