Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-6245
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dc.contributor.authorJavanpeykar, Ariyan-
dc.contributor.authorKucharczyk, Robert-
dc.date.accessioned2021-08-06T08:26:52Z-
dc.date.available2021-08-06T08:26:52Z-
dc.date.issued2020-
dc.identifier.urihttps://openscience.ub.uni-mainz.de/handle/20.500.12030/6255-
dc.description.abstractLet 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.isoengde
dc.rightsCC BY-NC*
dc.rights.urihttps://creativecommons.org/licenses/by-nc/4.0/*
dc.subject.ddc510 Mathematikde_DE
dc.subject.ddc510 Mathematicsen_GB
dc.titleAlgebraicity of analytic maps to a hyperbolic varietyen_GB
dc.typeZeitschriftenaufsatzde
dc.identifier.doihttp://doi.org/10.25358/openscience-6245-
jgu.type.contenttypeScientific articlede
jgu.type.dinitypearticleen_GB
jgu.type.versionPublished versionde
jgu.type.resourceTextde
jgu.organisation.departmentFB 08 Physik, Mathematik u. Informatikde
jgu.organisation.number7940-
jgu.organisation.nameJohannes Gutenberg-Universität Mainz-
jgu.rights.accessrightsopenAccess-
jgu.journal.titleMathematische Nachrichtende
jgu.journal.volume293de
jgu.journal.issue8de
jgu.pages.start1490de
jgu.pages.end1504de
jgu.publisher.year2020-
jgu.publisher.nameWiley-VCHde
jgu.publisher.placeWeinheimde
jgu.publisher.urihttps://doi.org/10.1002/mana.201900098de
jgu.publisher.issn1522-2616de
jgu.organisation.placeMainz-
jgu.subject.ddccode510de
jgu.publisher.doi10.1002/mana.201900098
jgu.organisation.rorhttps://ror.org/023b0x485
Appears in collections:JGU-Publikationen

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