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Special values of automorphic cohomology classes /

The authors study the complex geometry and coherent cohomology of nonclassical Mumford-Tate domains and their quotients by discrete groups. Their focus throughout is on the domains D which occur as open G(\mathbb{R})-orbits in the flag varieties for G=SU(2,1) and Sp(4), regarded as classifying space...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Green, M. (Mark) (Autor), Griffiths, Phillip, 1938- (Autor), Kerr, Matthew D., 1975- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2014.
Colección:Memoirs of the American Mathematical Society ; no. 1088.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:The authors study the complex geometry and coherent cohomology of nonclassical Mumford-Tate domains and their quotients by discrete groups. Their focus throughout is on the domains D which occur as open G(\mathbb{R})-orbits in the flag varieties for G=SU(2,1) and Sp(4), regarded as classifying spaces for Hodge structures of weight three. In the context provided by these basic examples, the authors formulate and illustrate the general method by which correspondence spaces \mathcal{W} give rise to Penrose transforms between the cohomologies H^{q}(D, L) of distinct such orbits with coefficients in.
Notas:"Volume 231, number 1088 (fifth of 5 numbers), September 2014."
Descripción Física:1 online resource (v, 145 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 143-145).
ISBN:9781470417246
1470417243
ISSN:0065-9266 ;