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A Robust Implementation for Solving the S-Unit Equation and Several Applications Read chapter Read first chapter

2021 | OriginalPaper | Chapter

A Prym Variety with Everywhere Good Reduction over \(\mathbb {Q}(\sqrt {61})\)

Authors : Nicolas Mascot, Jeroen Sijsling, John Voight

Published in: Arithmetic Geometry, Number Theory, and Computation

Publisher: Springer International Publishing

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Abstract

We compute an equation for a modular abelian surface A that has everywhere good reduction over the quadratic field \(K = \mathbb {Q}(\sqrt {61})\) and that does not admit a principal polarization over K.

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previous chapter Visualizing Modular Forms
next chapter The S-Integral Points on the Projective Line Minus Three Points via Finite Covers and Skolem’s Method
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Metadata
Title
A Prym Variety with Everywhere Good Reduction over
Authors
Nicolas Mascot
Jeroen Sijsling
John Voight
Copyright Year
2021
Book
Arithmetic Geometry, Number Theory, and Computation

Print ISBN: 978-3-030-80913-3

Electronic ISBN: 978-3-030-80914-0

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-80914-0_20

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