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On a Conjecture of Finotti

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Abstract

We prove a conjecture of Luis Finotti about cubic polynomials of one variable in characteristic p. He checked it by computer for primes p < 890 and uses it to define and study the minimal degree lift of the generic point of an ordinary elliptic curve in characteristic p to the canonical lift mod p 3 of the curve.

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Authors and Affiliations

  1. Department of Mathematics, The University of Texas at Austin, 78712, Austin, TX , USA

    John Tate

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  1. John Tate
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Correspondence to John Tate.

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Dedicated to IMPA on the occasion of its 50 th anniversary

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Tate, J. On a Conjecture of Finotti. Bull Braz Math Soc 33, 225–229 (2002). https://doi.org/10.1007/s005740200011

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  • DOI: https://doi.org/10.1007/s005740200011

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