Special values of automorphic cohomology classes
Author(s)
Bibliographic Information
Special values of automorphic cohomology classes
（Memoirs of the American Mathematical Society, no.1088）
American Mathematical Society, c2014
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Note
Includes bibliographical references (p. 143-145)
"September 2014, volume 231, number 1088 (fifth of 5 numbers)."
Description and Table of Contents
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.
Table of Contents
- Introduction Geometry of the Mumford Tate domains Homogeneous line bundles over the Mumford Tate domains Correspondence and cycle spaces
- Penrose transforms The Penrose transform in the automorphic case and the main result Bibliography
by "Nielsen BookData"