A representable functor theorem for compact analytic spaces and applications
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- by Andrew J. Sommese PDF
- Proc. Amer. Math. Soc. 52 (1975), 11-17 Request permission
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
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 52 (1975), 11-17
- MSC: Primary 32J99; Secondary 32C15
- DOI: https://doi.org/10.1090/S0002-9939-1975-0425190-1
- MathSciNet review: 0425190