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Special Values Of Automorphic Cohomology Classes Mark Green Phillip Griffiths

  • SKU: BELL-5250716
Special Values Of Automorphic Cohomology Classes Mark Green Phillip Griffiths
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Special Values Of Automorphic Cohomology Classes Mark Green Phillip Griffiths instant download after payment.

Publisher: Amer Mathematical Society
File Extension: PDF
File size: 1 MB
Pages: 158
Author: Mark Green, Phillip Griffiths, Matt Kerr
ISBN: 9780821898574, 0821898574
Language: English
Year: 2014

Product desciption

Special Values Of Automorphic Cohomology Classes Mark Green Phillip Griffiths by Mark Green, Phillip Griffiths, Matt Kerr 9780821898574, 0821898574 instant download after payment.

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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