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 | |
| Publication status | Published - Jan 1 1997 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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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 journal › Article
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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
VL - 147
SP - 63
EP - 69
JO - Nagoya Mathematical Journal
JF - Nagoya Mathematical Journal
SN - 0027-7630
ER -