Categories of abelian varieties over finite fields II: Abelian varieties over Fq and Morita equivalence
- The category of abelian varieties over Fq is shown to be anti-equivalent to a category of Z-lattices that are modules for a non-commutative pro-ring of endomorphisms of a suitably chosen direct system of abelian varieties over Fq. On full subcategories cut out by a finite set w of conjugacy classes of Weil q-numbers, the anti-equivalence is represented by what we call w-locally projective abelian varieties.
| Author: | Tommaso Giorgio CentelegheGND, Jakob StixGND |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-842727 |
| DOI: | https://doi.org/10.1007/s11856-023-2536-2 |
| ISSN: | 1565-8511 |
| ArXiv Id: | http://arxiv.org/abs/2112.14306 |
| Parent Title (English): | Israel Journal of Mathematics |
| Publisher: | Springer |
| Place of publication: | Berlin ; Heidelberg |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2023/12/22 |
| Date of first Publication: | 2023/12/22 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2024/07/16 |
| Volume: | 257.2023 |
| Issue: | 1 |
| Page Number: | 68 |
| First Page: | 103 |
| Last Page: | 170 |
| Institutes: | Informatik und Mathematik / Mathematik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Creative Commons - CC BY - Namensnennung 4.0 International |
