Special Values of Automorphic Cohomology Classes

Mark Green, Phillip Griffiths, Matt Kerr (Autoren)

Buch | Softcover

145 Seiten

2014
American Mathematical Society (Verlag)
978-0-8218-9857-4 (ISBN)

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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.

Mark Green, University of California, Los Angeles, USA Phillip Griffiths, Institute for Advanced Study, Princeton, New Jersey, USA Matt Kerr, Washington University in St. Louis, Missouri, USA

Introduction Geometry of the Mumford Tate domains Homogeneous line bundles over the Mumford Tate domains Correspondence and cycle spaces; Penrose transforms The Penrose transform in the automorphic case and the main result Bibliography

Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-9857-4 / 0821898574
ISBN-13	978-0-8218-9857-4 / 9780821898574
Zustand	Neuware