296 citations
- Centre National de la Recherche ScientifiqueFR16 papers
- Université de LilleFR13 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR5 papers
- KU LeuvenBE3 papers
- Laboratoire de Physique des PlasmasFR3 papers
- Missouri University of Science and TechnologyUS3 papers
- Université Paris CitéFR3 papers
- École Normale Supérieure - PSLFR2 papers
- Institut de Mathématiques de BordeauxFR2 papers
- Institut de recherche mathématique de RennesFR2 papers
- Institut national de recherche en sciences et technologies du numériqueFR2 papers
- Laboratoire de Mathématiques d'OrsayFR2 papers
12 papers · 1 filter
Generating series for irreducible polynomials over finite fields
Arnaud Bodin
We count the number of irreducible polynomials in several variables of a given degree over a finite field. The results are expressed in terms of a generating series, an exact formu…
Decomposition of polynomials and approximate roots
Arnaud Bodin
We state a kind of Euclidian division theorem: given a polynomial P(x) and a divisor d of the degree of P, there exist polynomials h(x),Q(x),R(x) such that P(x) = h(Q(x)) +R(x), wi…
The Chow ring of double EPW sextics
Andrea Ferretti
A conjecture of Beauville and Voisin states that for an irreducible symplectic variety X, any polynomial relation between classes of divisors and the Chern classes of X which holds…
Abelianisation of orthogonal groups and the fundamental group of modular varieties
V. Gritsenko, K. Hulek, G. K. Sankaran
We study the commutator subgroup of integral orthogonal groups belonging to indefinite quadratic forms. We show that the index of this commutator is 2 for many groups that occur in…
Singular cohomology of the analytic Milnor fiber, and mixed Hodge structure on the nearby cohomology
Johannes Nicaise
We constructed the analytic Milnor fiber is a non-archimedean model of the classical topological Milnor fibration. In the present paper, we describe the homotopy type of the analyt…
Motivic Serre invariants, ramification, and the analytic Milnor fiber
Johannes Nicaise, Julien Sebag
We show how formal and rigid geometry can be used in the theory of complex singularities, and in particular in the study of the Milnor fibration and the motivic zeta function. We i…