| Title: |
Smooth hypersurfaces in abelian varieties over arithmetic rings |
| Authors: |
Javanpeykar, Ariyan; Mathur, Siddharth |
| Source: |
Forum of Mathematics, Sigma. 10. -. 2022. 1. 14. - |
| Publisher Information: |
Johannes Gutenberg-Universität Mainz |
| Publication Year: |
2022 |
| Collection: |
Gutenberg Open (Johannes Gutenberg Universität Mainz - JGU) |
| Subject Terms: |
ddc:510 |
| Description: |
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. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.25358/openscience-8815 |
| Availability: |
https://openscience.ub.uni-mainz.de/handle/20.500.12030/8831; https://hdl.handle.net/20.500.12030/8831; https://doi.org/10.25358/openscience-8815 |
| Rights: |
CC-BY-4.0 ; https://creativecommons.org/licenses/by/4.0/ ; openAccess |
| Accession Number: |
edsbas.E23F2752 |
| Database: |
BASE |