Vanishing on cohomology associated to Hermitian symmetric spaces
type: Item
instance of: scholarly article
title: Vanishing on cohomology associated to Hermitian symmetric spaces
zbMATH Open document ID: 0625.57023
author: Shingo Murakami
publication date: 1987-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74777
review text: We consider the cohomology groups of compact locally Hermitian symmetric spaces with coefficients in the sheaf of germs of holomorphic sections of those vector bundles over the spaces which are defined by canonical automorphic factors. We give a quick survey of the research on these cohomology groups, and then discuss vanishing theorems of the cohomology groups.
Mathematics Subject Classification ID: 57T15
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 32L10
zbMATH DE Number: 4015736
zbMATH Keywords: cohomology groups of compact locally Hermitian symmetric spaces
zbMATH Keywords: coefficients in the sheaf of germs of holomorphic sections
zbMATH Keywords: canonical automorphic factors
MaRDI profile type: Publication
OpenAlex ID: W2047903257
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DOI: 10.5802/AIF.1119
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 4015736