| Title:
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SPECIAL VALUES OF AUTOMORPHIC COHOMOLOGY CLASSES
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| By: |
Mark Green, Phillip Griffiths, Matt Kerr |
| Format: |
Paperback |
| List price:
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£78.95 |
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| ISBN 10: |
0821898574 |
| ISBN 13: |
9780821898574 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
30 August, 2014 |
| Series: |
Memoirs of the American Mathematical Society 231/1088 |
| Pages: |
145 |
| 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. |
| Synopsis: |
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. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |