Special Values of Automorphic Cohomology Classes PDF ePub eBook

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Special Values of Automorphic Cohomology Classes free pdf 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.

About Mark Green

Mark Green , University of California, Los Angeles, USA Phillip Griffiths , Institute for Advanced Study, Princeton, New Jersey, USA Matt Kerr , Washington University in St. Louis, Missouri, USA

Details Book

Author : Mark Green
Publisher : American Mathematical Society
Data Published : 30 August 2014
ISBN : 0821898574
EAN : 9780821898574
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 145 pages
Age + : 15 years
Language : English
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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 a