Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-8815
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dc.contributor.authorJavanpeykar, Ariyan-
dc.contributor.authorMathur, Siddharth-
dc.date.accessioned2023-04-27T12:49:31Z-
dc.date.available2023-04-27T12:49:31Z-
dc.date.issued2022-
dc.identifier.urihttps://openscience.ub.uni-mainz.de/handle/20.500.12030/8831-
dc.description.abstractLet 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.isoengde
dc.rightsCC BY*
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/*
dc.subject.ddc510 Mathematikde_DE
dc.subject.ddc510 Mathematicsen_GB
dc.titleSmooth hypersurfaces in abelian varieties over arithmetic ringsen_GB
dc.typeZeitschriftenaufsatzde
dc.identifier.doihttp://doi.org/10.25358/openscience-8815-
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.titleForum of Mathematics, Sigmade
jgu.journal.volume10de
jgu.pages.start1de
jgu.pages.end14de
jgu.publisher.year2022-
jgu.publisher.nameCambridge University Pressde
jgu.publisher.placeCambridgede
jgu.publisher.issn2050-5094de
jgu.organisation.placeMainz-
jgu.subject.ddccode510de
jgu.publisher.doi10.1017/fms.2022.87de
jgu.organisation.rorhttps://ror.org/023b0x485-
jgu.subject.dfgNaturwissenschaftende
Appears in collections:DFG-491381577-H

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