Examples of abelian surfaces with everywhere good reduction
Author(s)Dembélé, Lassina; Kumar, Abhinav
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Springer Berlin Heidelberg
Dembélé, Lassina, and Abhinav Kumar. “Examples of Abelian Surfaces with Everywhere Good Reduction.” Math. Ann. 364, no. 3–4 (July 23, 2015): 1365–1392.
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