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Non-existence of certain semistable abelian varieties

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Abstract:

We show that there is no semistable abelian variety defined over ℚ with bad reduction at exactly one prime p≤ 7.

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Authors and Affiliations

  1. Department of Mathematics, Fordham University, Bronx, NY 10458, USA.¶e-mail: brumer@fordham.edu, , , , , , US

    Armand Brumer

  2. Department of Mathematics, Queens College (CUNY), Flushing, NY 11367, USA. e-mail: kramer@qc.forbin.edu, , , , , , US

    Kenneth Kramer

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  1. Armand Brumer
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  2. Kenneth Kramer
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Received: 7 November 2000 / Revised version: 13 July 2001

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Brumer, A., Kramer, K. Non-existence of certain semistable abelian varieties. manuscripta math. 106, 291–304 (2001). https://doi.org/10.1007/PL00005885

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  • DOI: https://doi.org/10.1007/PL00005885

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