Please use this identifier to cite or link to this item:
http://doi.org/10.25358/openscience-6245
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DC Field | Value | Language |
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dc.contributor.author | Javanpeykar, Ariyan | - |
dc.contributor.author | Kucharczyk, Robert | - |
dc.date.accessioned | 2021-08-06T08:26:52Z | - |
dc.date.available | 2021-08-06T08:26:52Z | - |
dc.date.issued | 2020 | - |
dc.identifier.uri | https://openscience.ub.uni-mainz.de/handle/20.500.12030/6255 | - |
dc.description.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. | en_GB |
dc.language.iso | eng | de |
dc.rights | CC BY-NC | * |
dc.rights.uri | https://creativecommons.org/licenses/by-nc/4.0/ | * |
dc.subject.ddc | 510 Mathematik | de_DE |
dc.subject.ddc | 510 Mathematics | en_GB |
dc.title | Algebraicity of analytic maps to a hyperbolic variety | en_GB |
dc.type | Zeitschriftenaufsatz | de |
dc.identifier.doi | http://doi.org/10.25358/openscience-6245 | - |
jgu.type.contenttype | Scientific article | de |
jgu.type.dinitype | article | en_GB |
jgu.type.version | Published version | de |
jgu.type.resource | Text | de |
jgu.organisation.department | FB 08 Physik, Mathematik u. Informatik | de |
jgu.organisation.number | 7940 | - |
jgu.organisation.name | Johannes Gutenberg-Universität Mainz | - |
jgu.rights.accessrights | openAccess | - |
jgu.journal.title | Mathematische Nachrichten | de |
jgu.journal.volume | 293 | de |
jgu.journal.issue | 8 | de |
jgu.pages.start | 1490 | de |
jgu.pages.end | 1504 | de |
jgu.publisher.year | 2020 | - |
jgu.publisher.name | Wiley-VCH | de |
jgu.publisher.place | Weinheim | de |
jgu.publisher.uri | https://doi.org/10.1002/mana.201900098 | de |
jgu.publisher.issn | 1522-2616 | de |
jgu.organisation.place | Mainz | - |
jgu.subject.ddccode | 510 | de |
jgu.publisher.doi | 10.1002/mana.201900098 | |
jgu.organisation.ror | https://ror.org/023b0x485 | |
Appears in collections: | JGU-Publikationen |
Files in This Item:
File | Description | Size | Format | ||
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javanpeykar_ariyan-algebraicity_o-20210803234443778.pdf | 376.14 kB | Adobe PDF | View/Open |