Document Type
Article
Publication Date
1-1-2016
Abstract
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 Q contains a quaternion algebra.
Publication Source (Journal or Book title)
Journal of Number Theory
First Page
175
Last Page
203
Recommended Citation
Deines, A., Fuselier, J., Long, L., Swisher, H., & Tu, F. (2016). Generalized Legendre curves and quaternionic multiplication. Journal of Number Theory, 161, 175-203. https://doi.org/10.1016/j.jnt.2015.04.019
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