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# Special Values of Automorphic Cohomology Classes - Memoirs of the American Mathematical Society (Paperback)

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Paperback 145 Pages / Published: 30/08/2014
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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.

Publisher: American Mathematical Society
ISBN: 9780821898574
Number of pages: 145
Dimensions: 254 x 178 mm

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