The field of moduli of quaternionic multiplication on abelian varieties
We consider principally polarized abelian varieties with quaternionic multiplication over number fields and we study the field of moduli of their endomorphisms in relation to the set of rational points on suitable Shimura varieties.
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204302243 |
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| _version_ | 1832562791760789504 |
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| author | Victor Rotger |
| author_facet | Victor Rotger |
| author_sort | Victor Rotger |
| collection | DOAJ |
| description | We consider principally polarized abelian varieties with quaternionic multiplication over number fields and we study the field of moduli of their endomorphisms in relation to the set of rational points on suitable Shimura varieties. |
| format | Article |
| id | doaj-art-1d0d8d8a57e64fedb864cc99fa3eafcd |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1d0d8d8a57e64fedb864cc99fa3eafcd2025-02-03T01:21:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004522795280810.1155/S0161171204302243The field of moduli of quaternionic multiplication on abelian varietiesVictor Rotger0Departament de Matemàtica Aplicada IV (EPSEVG), Universitat Politècnica de Catalunya, Av. Victor Balaguer s/n, Vilanova i la Geltrú, 08800, SpainWe consider principally polarized abelian varieties with quaternionic multiplication over number fields and we study the field of moduli of their endomorphisms in relation to the set of rational points on suitable Shimura varieties.http://dx.doi.org/10.1155/S0161171204302243 |
| spellingShingle | Victor Rotger The field of moduli of quaternionic multiplication on abelian varieties International Journal of Mathematics and Mathematical Sciences |
| title | The field of moduli of quaternionic multiplication on abelian varieties |
| title_full | The field of moduli of quaternionic multiplication on abelian varieties |
| title_fullStr | The field of moduli of quaternionic multiplication on abelian varieties |
| title_full_unstemmed | The field of moduli of quaternionic multiplication on abelian varieties |
| title_short | The field of moduli of quaternionic multiplication on abelian varieties |
| title_sort | field of moduli of quaternionic multiplication on abelian varieties |
| url | http://dx.doi.org/10.1155/S0161171204302243 |
| work_keys_str_mv | AT victorrotger thefieldofmoduliofquaternionicmultiplicationonabelianvarieties AT victorrotger fieldofmoduliofquaternionicmultiplicationonabelianvarieties |