TY  - BOOK
AU  - Green,Mark
AU  - Griffiths,Phillip
AU  - Kerr,Matt
TI  - Special values of automorphic cohomology classes
T2  - Memoirs of the American Mathematical Society
SN  - 9780821898574 (pbk. : acidfree paper)
U1  - 510 23
PY  - 2014///
CY  - Providence
PB  - American Mathematical Society
KW  - Homology theory
KW  - Cohomology operations
KW  - Automorphic forms
KW  - Mumford-Tate groups
KW  - Penrose transform
N1  - "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
N2  - 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
ER  -