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Philippe Caldero
Cône nilpotent sur un corps fini et $q$-séries hypergéométriques
(Nilpotent cone over a finite field and hypergeometric $q$-series)
Confluentes Mathematici, 8 no. 2 (2016), p. 3-22, doi: 10.5802/cml.30
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Class. Math.: 05A30, 05A19, 05B25, 05E15, 19F27
Keywords: Corps finis, cône nilpotent, fonctions hypergéométriques, conjectures de Weil

Résumé - Abstract

We present different methods to compute the size of various nilpotent cones over a finite field. We insist in particular on the role hypergeometric functions play in these computations. To finish, we give a cohomological interpretation of our results.

Bibliography

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eISSN : 1793-7434

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