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

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 - Jan 1 1997

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.1017/S0027763000006310

Fingerprint Dive into the research topics of 'A generalization of Kita and Noumi's vanishing theorems of cohomology groups of local system'. Together they form a unique fingerprint.

Cite this

Cho, K. (1997). A generalization of Kita and Noumi's vanishing theorems of cohomology groups of local system. Nagoya Mathematical Journal, 147, 63-69. https://doi.org/10.1017/S0027763000006310

@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 = jan,

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 -