Vanishing theorems on cohomology associated to hermitian symmetric spaces

Shingo Murakami

Annales de l'institut Fourier (1987)

  • Volume: 37, Issue: 4, page 225-233
  • ISSN: 0373-0956

Abstract

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We consider the cohomoly 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.

How to cite

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Murakami, Shingo. "Vanishing theorems on cohomology associated to hermitian symmetric spaces." Annales de l'institut Fourier 37.4 (1987): 225-233. <http://eudml.org/doc/74777>.

@article{Murakami1987,
abstract = {We consider the cohomoly 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.},
author = {Murakami, Shingo},
journal = {Annales de l'institut Fourier},
keywords = {cohomology groups of compact locally Hermitian symmetric spaces; coefficients in the sheaf of germs of holomorphic sections; canonical automorphic factors},
language = {eng},
number = {4},
pages = {225-233},
publisher = {Association des Annales de l'Institut Fourier},
title = {Vanishing theorems on cohomology associated to hermitian symmetric spaces},
url = {http://eudml.org/doc/74777},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Murakami, Shingo
TI - Vanishing theorems on cohomology associated to hermitian symmetric spaces
JO - Annales de l'institut Fourier
PY - 1987
PB - Association des Annales de l'Institut Fourier
VL - 37
IS - 4
SP - 225
EP - 233
AB - We consider the cohomoly 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.
LA - eng
KW - cohomology groups of compact locally Hermitian symmetric spaces; coefficients in the sheaf of germs of holomorphic sections; canonical automorphic factors
UR - http://eudml.org/doc/74777
ER -

References

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