EUDML | A Borel-Weil theorem for holomorphic forms

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Displaying similar documents to “A Borel-Weil theorem for holomorphic forms”

Vanishing theorems on cohomology associated to hermitian symmetric spaces

Shingo Murakami (1987)

Annales de l'institut Fourier

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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.

H*(C/B,L) for G of semi-simple rank 2

Walter Griffith (1983)

Fundamenta Mathematicae

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On the principal bundles over a flag manifold.

Azad, Hassan, Biswas, Indranil (2004)

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Injectivity of the double fibration transform for cycle spaces of flag domains.

Huckleberry, Alan T., Wolf, Joseph A. (2004)

Journal of Lie Theory

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An intrinsic classification of the unitarizable highest weight modules as well as their associated varieties

Hans Plesner Jakobsen (1996)

Compositio Mathematica

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Unitary representations with non-zero cohomology

David A. Vogan, Gregg J. Zuckerman (1984)

Compositio Mathematica

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Pseudoconcave homogeneous manifolds

A. T. Huckleberry, D. Snow (1980)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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