Special Values of Automorphic Cohomology Classes(English, Paperback, Green Mark)

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Special Values of Automorphic Cohomology Classes(English, Paperback, Green Mark) is written by Green Mark and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 0821898574 (ISBN 10) and 9780821898574 (ISBN 13).

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.