361 research outputs found

    Alien Registration- Vigue, Albert (Bangor, Penobscot County)

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    https://digitalmaine.com/alien_docs/10233/thumbnail.jp

    Alien Registration- Vigue, Rudolph L. (Dexter, Penobscot County)

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    https://digitalmaine.com/alien_docs/11039/thumbnail.jp

    Isolated fixed point sets for holomorphic maps

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    We study discrete fixed point sets of holomorphic self-maps of complex manifolds. The main attention is focused on the cardinality of this set and its configuration. As a consequence of one of our observations, a bounded domain in Cn{\Bbb C}^n with no non-trivial holomorphic retractions is constructed.Comment: 12 page

    Alien Registration- Vigue, Donat (Cornville, Somerset County)

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    https://digitalmaine.com/alien_docs/9745/thumbnail.jp

    Fixed points and Determining Sets for Holomorphic Self-Maps of a Hyperbolic Manifold

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    We study fixed point sets for holomorphic automorphisms (and endomorphisms) on complex manifolds. The main object of our interest is to determine the number and configuration of fixed points that forces an automorphism (endomorphism) to be the identity. These questions have been examined in a number of papers for a bounded domain in Cn{\Bbb C}^n. Here we resolve the case for a general finite dimensional hyperbolic manifold. We also show that the results for non-hyperbolic manifolds are notably different.Comment: 10 page
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