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Special values of automorphic cohomology classes / Mark Green, Phillip Griffiths and Matt Kerr.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v 231, no 1088.Publication details: Providence : American Mathematical Society, c2014.Description: v, 145 p. ; 26 cmISBN:
  • 9780821898574 (pbk. : acidfree paper)
Subject(s): DDC classification:
  • 510 23 Am512
Contents:
I. Geometry of the Mumford-Tate domains -- II. Homogeneous line bundles over the Mumford-Tate domains -- II. Correspondence and cycle spaces, Penrose transforms -- IV. The Penrose transform in the automorphic case and the main result-- Bibliography.
Summary: 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.
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"Volume 231, number 1088 (fifth of 5 numbers), September 2014."

Includes bibliographical references (pages 143-145).

I. Geometry of the Mumford-Tate domains --
II. Homogeneous line bundles over the Mumford-Tate domains --
II. Correspondence and cycle spaces, Penrose transforms --
IV. The Penrose transform in the automorphic case and the main result--
Bibliography.

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.

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