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Arithmetic Geometry, Number Theory, and Computation pp 559–581Cite as

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

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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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  • DOI: 10.1007/978-3-030-80914-0_20
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Author information

Authors and Affiliations

  1. School of Mathematics, Trinity College, Dublin, Ireland

    Nicolas Mascot

  2. Universität Ulm, Institut für Algebra und Zahlentheorie, Ulm, Germany

    Jeroen Sijsling

  3. Department of Mathematics, Dartmouth College, Hanover, NH, USA

    John Voight

Authors
  1. Nicolas Mascot
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  2. Jeroen Sijsling
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  3. John Voight
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Corresponding author

Correspondence to John Voight .

Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, Boston University, Boston, MA, USA

    Jennifer S. Balakrishnan

  2. Department of Mathematics, Harvard University, Cambridge, MA, USA

    Noam Elkies

  3. Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, RI, USA

    Brendan Hassett

  4. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, USA

    Prof. Bjorn Poonen

  5. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, USA

    Andrew V. Sutherland

  6. Department of Mathematics, Dartmouth College, Hanover, NH, USA

    John Voight

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Mascot, N., Sijsling, J., Voight, J. (2021). A Prym Variety with Everywhere Good Reduction over \(\mathbb {Q}(\sqrt {61})\) . In: Balakrishnan, J.S., Elkies, N., Hassett, B., Poonen, B., Sutherland, A.V., Voight, J. (eds) Arithmetic Geometry, Number Theory, and Computation. Simons Symposia. Springer, Cham. https://doi.org/10.1007/978-3-030-80914-0_20

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