Please use this identifier to cite or link to this item:
http://doi.org/10.25358/openscience-8815
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DC Field | Value | Language |
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dc.contributor.author | Javanpeykar, Ariyan | - |
dc.contributor.author | Mathur, Siddharth | - |
dc.date.accessioned | 2023-04-27T12:49:31Z | - |
dc.date.available | 2023-04-27T12:49:31Z | - |
dc.date.issued | 2022 | - |
dc.identifier.uri | https://openscience.ub.uni-mainz.de/handle/20.500.12030/8831 | - |
dc.description.abstract | Let A be an abelian scheme of dimension at least four over a Z-finitely generated integral domain R of characteristic zero, and let L be an ample line bundle on A. We prove that the set of smooth hypersurfaces D in A representing L is finite by showing that the moduli stack of such hypersurfaces has only finitely many R-points. We accomplish this by using level structures to interpolate finiteness results between this moduli stack and the stack of canonically polarized varieties. | en_GB |
dc.language.iso | eng | de |
dc.rights | CC BY | * |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | * |
dc.subject.ddc | 510 Mathematik | de_DE |
dc.subject.ddc | 510 Mathematics | en_GB |
dc.title | Smooth hypersurfaces in abelian varieties over arithmetic rings | en_GB |
dc.type | Zeitschriftenaufsatz | de |
dc.identifier.doi | http://doi.org/10.25358/openscience-8815 | - |
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 | Forum of Mathematics, Sigma | de |
jgu.journal.volume | 10 | de |
jgu.pages.start | 1 | de |
jgu.pages.end | 14 | de |
jgu.publisher.year | 2022 | - |
jgu.publisher.name | Cambridge University Press | de |
jgu.publisher.place | Cambridge | de |
jgu.publisher.issn | 2050-5094 | de |
jgu.organisation.place | Mainz | - |
jgu.subject.ddccode | 510 | de |
jgu.publisher.doi | 10.1017/fms.2022.87 | de |
jgu.organisation.ror | https://ror.org/023b0x485 | - |
jgu.subject.dfg | Naturwissenschaften | de |
Appears in collections: | DFG-491381577-H |
Files in This Item:
File | Description | Size | Format | ||
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smooth_hypersurfaces_in_abeli-20230217153415940.pdf | 402.21 kB | Adobe PDF | View/Open |