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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स्वरूप PDF ● पेज 145 ● ISBN 9781470417246 ● प्रकाशक American Mathematical Society ● डाउनलोड करने योग्य 3 बार ● मुद्रा EUR ● आईडी 8056948 ● कॉपी सुरक्षा Adobe DRM
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