ENGLISH

Special values of automorphic cohomology classes

By Mark Green , Phillip Griffiths , Matt Kerr

Book information

Publisher
Amer Mathematical Society
Year
2014
ISBN
0821898574, 978-0-8218-9857-4
Language
english
Format
PDF
Filesize
1 MB (1053153 bytes)
Series
Memoirs of the American Mathematical Society 1088
Pages
158\158
Library
kolxoz
Time added
2015-12-12 14:00:00

Description

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 homogeneous line bundles

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