Special values of automorphic cohomology classes
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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 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
LF/53438680/R
Data sheet
- Name of the Author
- Mark Green
Matt Kerr
Phillip Griffiths - Language
- English
- Series
- Memoirs of the American Mathematical Society 1088
- ISBN
- 9780821898574
- Release date
- 2014
