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20012023
most citedGeometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields

48 citations · 138 across the 18 of their papers we have counts for

collaborators

18 papers

math.GR2023

Zéros de caractères

Jean-Pierre Serre

Let G be a compact real Lie group, and let f be an irreducible complex character of G, of degree > 1. We show that there exists an element g of G, of finite order, such that f(g)=0…

math.GR2022

Groupes de Coxeter finis : centralisateurs d'involutions

Jean-Pierre Serre

We give a case-by-case description of the centralizers of involutions in finite Coxeter groups.

math.GR2020

Groupes de Coxeter finis: involutions et cubes

Jean-Pierre Serre

We review the properties of the finite Coxeter groups which are most useful for applications to cohomological invariants, namely their classes of involutions and their "cubes" (abe…

math.GR2020

Index-stable compact -adic analytic groups

Francesco Noseda, Ilir Snopce, Jean-Pierre Serre

A profinite group is index-stable if any two isomorphic open subgroups have the same index. Let be a prime, and let be a compact -adic analytic group with associated $\m…

math.AG2019

Lines on cubic surfaces and Witt invariants

Eva Bayer-Fluckiger, Jean-Pierre Serre

The aim of this note is to give a formula expressing the trace form associated with the 27 lines of a cubic surface.

math.NT2018★ 1 cited

Distribution asymptotique des valeurs propres des endomorphismes de Frobenius [d'après Abel, Chebyshev, Robinson, ...]

Jean-Pierre Serre

We consider unitary polynomials whose roots belong to a given compact of . To such a polynomial we associate the measure on which is the mean…