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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


A representable functor theorem for compact analytic spaces and applications

Author: Andrew J. Sommese
Journal: Proc. Amer. Math. Soc. 52 (1975), 11-17
MSC: Primary 32J99; Secondary 32C15
MathSciNet review: 0425190
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Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that the functor given by maps from a given compact analytic space $ X$ into elements of a category $ C$ of analytic spaces is representable by a compact element of $ C$ if and only if $ C$ is closed under finite products and the taking of compact subspaces. Various specific choices are considered. Of special interest is the category of compact hyperbolic spaces which gives rise to a birational invariant when applied to projective manifolds.

References [Enhancements On Off] (What's this?)

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Additional Information

PII: S 0002-9939(1975)0425190-1
Keywords: Representable functor, compact complex space, hyperbolic space, complex fibre space
Article copyright: © Copyright 1975 American Mathematical Society

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