| Autor: |
Deines, Alyson, Fuselier, Jenny G., Long, Ling, Swisher, Holly, Tu, Fang-Ting |
| Rok vydání: |
2014 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.jnt.2015.04.019 |
| Popis: |
This paper is devoted to abelian varieties arising from generalized Legendre curves. In particular, we consider their corresponding Galois representations, periods, and endomorphism algebras. For certain one parameter families of 2-dimensional abelian varieties of this kind, we determine when the endomorphism algebra of each fiber defined over the algebraic closure of $\Bbb Q$ contains a quaternion algebra. |
| Databáze: |
arXiv |
| Externí odkaz: |
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