Please use this identifier to cite or link to this item:
http://doi.org/10.25358/openscience-6245
Authors: | Javanpeykar, Ariyan Kucharczyk, Robert |
Title: | Algebraicity of analytic maps to a hyperbolic variety |
Online publication date: | 6-Aug-2021 |
Year of first publication: | 2020 |
Language: | english |
Abstract: | Let X be a complex algebraic variety. We say that X is Borel hyperbolic if, for every finite type reduced scheme S over the complex numbers, every holomorphic map from S to X is algebraic. We use a transcendental specialization technique to prove that X is Borel hyperbolic if and only if, for every smooth affine complex algebraic curve C, every holomorphic map from C to X is algebraic. We use the latter result to prove that Borel hyperbolicity shares many common features with other notions of hyperbolicity such as Kobayashi hyperbolicity. |
DDC: | 510 Mathematik 510 Mathematics |
Institution: | Johannes Gutenberg-Universität Mainz |
Department: | FB 08 Physik, Mathematik u. Informatik |
Place: | Mainz |
ROR: | https://ror.org/023b0x485 |
DOI: | http://doi.org/10.25358/openscience-6245 |
Version: | Published version |
Publication type: | Zeitschriftenaufsatz |
Document type specification: | Scientific article |
License: | CC BY-NC |
Information on rights of use: | https://creativecommons.org/licenses/by-nc/4.0/ |
Journal: | Mathematische Nachrichten 293 8 |
Pages or article number: | 1490 1504 |
Publisher: | Wiley-VCH |
Publisher place: | Weinheim |
Issue date: | 2020 |
ISSN: | 1522-2616 |
Publisher URL: | https://doi.org/10.1002/mana.201900098 |
Publisher DOI: | 10.1002/mana.201900098 |
Appears in collections: | JGU-Publikationen |
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