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Cycle Spaces of Flag Domains Volume 245 || by Gregor Fels, Alan Huckleberry, Joseph A. Wolf (auth.) is a nonfiction available to read on EtoBox.

What is Cycle Spaces of Flag Domains Volume 245 || about?

This research monograph is a systematic exposition of the background, methods, and recent results in the theory of cycle spaces of?ag domains. Some of the methods are now standard, but many are new. The exposition is carried out from the viewpoint of complex algebraic and differential geometry. Except for certain foundational material,whichisreadilyavailablefromstandardtexts,itisessentiallyself-contained; at points where this is not the case we give extensive references. After developing the background material on complex?ag manifolds and rep- sentationtheory, wegiveanexposition(withanumberofnewresults)ofthecomplex geometric methods that lead to our characterizations of (group theoretically de?ned) cyclespacesandtoanumberofconsequences. Thenwegiveabriefindicationofjust how those results are related to the representation theory of semisimple Lie groups through, for example, the theory of double?bration transforms, and we indicate the connection to the variation of Hodge structure. Finally, we work out detailed local descriptions of the relevant full Barlet cycle spaces. Cycle space theory is a basic chapter in complex analysis. Since the 1960s its importance has been underlined by i

Who reads Cycle Spaces of Flag Domains Volume 245 ||?

Author

Gregor Fels, Alan Huckleberry, Joseph A. Wolf (auth.)

Publisher

Birkhäuser Boston

Published

2006

Language

EN

ISBN

9780817644796

Category

nonfiction

Subjects

Mathematics, Science, Physics