On the Hasse-Witt invariants of modular curves

Bayer, Pilar; González, Josep

Experiment. Math., Tome 6 (1997) no. 4, p. 57-76 / Harvested from Project Euclid

Résumé

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.

Publié le : 1997-05-14
Classification: 11G10, 11G18, 14G35

@article{1047565284,
     author = {Bayer, Pilar and Gonz\'alez, Josep},
     title = {On the Hasse-Witt invariants of modular curves},
     journal = {Experiment. Math.},
     volume = {6},
     number = {4},
     year = {1997},
     pages = { 57-76},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1047565284}
}

Bayer, Pilar; González, Josep. On the Hasse-Witt invariants of modular curves. Experiment. Math., Tome 6 (1997) no. 4, pp.  57-76. http://gdmltest.u-ga.fr/item/1047565284/