Experimental Mathematics

On the Hasse-Witt invariants of modular curves

Pilar Bayer and Josep González

Abstract

We briefly discuss the relationship between several characterizations of the Hasse--Witt invariant of curves in characteristic $p$ with the goal of computing its value in concrete instances. We study its asymptotic behaviour when dealing with the geometric fibres of curves of genus $\geq 2$ defined over the rationals. Numerical evidence gathered for several modular curves supports certain conjectural distribution laws.

Article information

Source
Experiment. Math. Volume 6, Issue 1 (1997), 57-76.

Dates
First available in Project Euclid: 13 March 2003

Permanent link to this document
https://projecteuclid.org/euclid.em/1047565284

Mathematical Reviews number (MathSciNet)
MR1464582

Zentralblatt MATH identifier
0923.11090

Subjects
Primary: 11G10: Abelian varieties of dimension > 1 [See also 14Kxx]
Secondary: 11G18: Arithmetic aspects of modular and Shimura varieties [See also 14G35] 14G35: Modular and Shimura varieties [See also 11F41, 11F46, 11G18]

Citation

Bayer, Pilar; González, Josep. On the Hasse-Witt invariants of modular curves. Experiment. Math. 6 (1997), no. 1, 57--76.https://projecteuclid.org/euclid.em/1047565284


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