Examples of abelian surfaces with everywhere good reduction
We describe several explicit examples of simple abelian surfaces over real quadratic fields with real multiplication and everywhere good reduction. These examples provide evidence for the Eichler–Shimura conjecture for Hilbert modular forms over a real quadratic field. Several of the examples also s...
| Egile Nagusiak: | , |
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| Beste egile batzuk: | |
| Formatua: | Artikulua |
| Hizkuntza: | English |
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Springer Berlin Heidelberg
2016
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| Sarrera elektronikoa: | http://hdl.handle.net/1721.1/105514 |
| _version_ | 1826209165704429568 |
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| author | Dembélé, Lassina Kumar, Abhinav |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Dembélé, Lassina Kumar, Abhinav |
| author_sort | Dembélé, Lassina |
| collection | MIT |
| description | We describe several explicit examples of simple abelian surfaces over real quadratic fields with real multiplication and everywhere good reduction. These examples provide evidence for the Eichler–Shimura conjecture for Hilbert modular forms over a real quadratic field. Several of the examples also support a conjecture of Brumer and Kramer on abelian varieties associated to Siegel modular forms with paramodular level structures. |
| first_indexed | 2024-09-23T14:18:14Z |
| format | Article |
| id | mit-1721.1/105514 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:18:14Z |
| publishDate | 2016 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1055142022-10-01T20:30:22Z Examples of abelian surfaces with everywhere good reduction Dembélé, Lassina Kumar, Abhinav Massachusetts Institute of Technology. Department of Mathematics Kumar, Abhinav We describe several explicit examples of simple abelian surfaces over real quadratic fields with real multiplication and everywhere good reduction. These examples provide evidence for the Eichler–Shimura conjecture for Hilbert modular forms over a real quadratic field. Several of the examples also support a conjecture of Brumer and Kramer on abelian varieties associated to Siegel modular forms with paramodular level structures. National Science Foundation (U.S.) (Grant DMS-0952486) Solomon Buchsbaum AT&T Research Fund 2016-12-01T22:26:23Z 2016-12-01T22:26:23Z 2015-07 2015-02 2016-08-18T15:23:51Z Article http://purl.org/eprint/type/JournalArticle 0025-5831 1432-1807 http://hdl.handle.net/1721.1/105514 Dembélé, Lassina, and Abhinav Kumar. “Examples of Abelian Surfaces with Everywhere Good Reduction.” Math. Ann. 364, no. 3–4 (July 23, 2015): 1365–1392. en http://dx.doi.org/10.1007/s00208-015-1252-6 Mathematische Annalen Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ Springer-Verlag Berlin Heidelberg application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Dembélé, Lassina Kumar, Abhinav Examples of abelian surfaces with everywhere good reduction |
| title | Examples of abelian surfaces with everywhere good reduction |
| title_full | Examples of abelian surfaces with everywhere good reduction |
| title_fullStr | Examples of abelian surfaces with everywhere good reduction |
| title_full_unstemmed | Examples of abelian surfaces with everywhere good reduction |
| title_short | Examples of abelian surfaces with everywhere good reduction |
| title_sort | examples of abelian surfaces with everywhere good reduction |
| url | http://hdl.handle.net/1721.1/105514 |
| work_keys_str_mv | AT dembelelassina examplesofabeliansurfaceswitheverywheregoodreduction AT kumarabhinav examplesofabeliansurfaceswitheverywheregoodreduction |