INVARIANT FORMS ON GRASSMANN MANIFOLDS. (AM-89), VOLUME 89 by Wilhelm Stoll ( 9780691081991 )

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Title:

INVARIANT FORMS ON GRASSMANN MANIFOLDS. (AM-89), VOLUME 89

By:

Wilhelm Stoll

Format:

Paperback

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£62.00

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ISBN 10:

0691081999

ISBN 13:

9780691081991

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Publisher:

PRINCETON UNIVERSITY PRESS

Pub. date:

1 January, 1978

Series:

Annals of Mathematics Studies 89

Pages:

128

Synopsis:

This work offers a contribution in the geometric form of the theory of several complex variables. Since complex Grassmann manifolds serve as classifying spaces of complex vector bundles, the cohomology structure of a complex Grassmann manifold is of importance for the construction of Chern classes of complex vector bundles. The cohomology ring of a Grassmannian is therefore of interest in topology, differential geometry, algebraic geometry, and complex analysis. Wilhelm Stoll treats certain aspects of the complex analysis point of view. This work originated with questions in value distribution theory. Here analytic sets and differential forms rather than the corresponding homology and cohomology classes are considered. On the Grassmann manifold, the cohomology ring is isomorphic to the ring of differential forms invariant under the unitary group, and each cohomology class is determined by a family of analytic sets.

Publication:

Imprint:

Princeton University Press

Returns:

Returnable

Some other items by this author:

ANALYTIC AND ALGEBRAIC DEPENDENCE OF MEROMORPHIC FUNCTIONS (PB)

HOLOMORPHIC FUNCTIONS OF FINITE ORDER IN SEVERAL COMPLEX VARIABLES (PB)

INVARIANT FORMS ON GRASSMANN MANIFOLDS. (AM-89)

TEST VON OSI-PROTOKOLLEN (PB)

VALUE DISTRIBUTION THEORY FOR MEROMORPHIC MAPS (PB)