14.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Université de RennesFR408 papers
- Centre National de la Recherche ScientifiqueFR296 papers
- Institut de recherche mathématique de RennesFR189 papers
- Institut de Physique de RennesFR150 papers
- Université Paris DiderotFR79 papers
- Observatoire de ParisFR77 papers
- Université Paris-SudFR73 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR70 papers
- Observatoire de la Côte d’AzurFR70 papers
- University of WarsawPL69 papers
- Australian National UniversityAU67 papers
- University of Rome Tor VergataIT66 papers
44 papers · 1 filter
Reduction type of genus-3 curves in a special stratum of their moduli space
Irene Bouw, Nirvana Coppola, Pınar Kılıçer +3
We study a 3-dimensional stratum of the moduli space of curves of genus parameterizing curves that admit a certain action of $V= C_2\tim…
The hyperelliptic theta map and osculating projections
Michele Bolognesi, Néstor Fernández Vargas
Let be a hyperelliptic curve of genus . In this paper we give a new geometric description of the theta map for moduli spaces of rank 2 semistable vector bundles on …
On the multipliers at fixed points of self-maps of the projective plane
Adolfo Guillot, Valente Ramírez
This paper deals with holomorphic self-maps of the complex projective plane and the algebraic relations among the eigenvalues of the derivatives at the fixed points. These eigenval…
Sylvester double sums, subresultants and symmetric multivariate Hermite interpolation
Marie-Françoise Roy, Aviva Szpirglas
Sylvester doubles sums, introduced first by Sylvester are symmetric expressions of the roots of two polynomials. Sylvester's definition of double sums makes no sense in the presenc…
Twisted calculus on affinoid algebras
Bernard Le Stum, Adolfo Quirós
We introduce the notion of a twisted differential operator of given radius relative to an endomorphism of an affinoid algebra A. We show that this notion is essentially indep…
Virtual Roots of Real Polynomials
Laureano Gonzalez--Vega, Henri Lombardi, Louis Mahé
The fact that a real univariate polynomial misses some real roots is usually overcame by considering complex roots, but the price to pay for, is a complete lost of the sign structu…
The arithmetic local Nori fundamental group
M. Romagny, F. Tonini, L. Zhang
In this paper we introduce the local Nori fundamental group scheme of a reduced scheme or algebraic stack over a perfect field . We give particular attention to the case of fiel…
The fundamental group of compact K{ä}hler threefolds
Benoît Claudon, Andreas Höring, Hsueh-Yung Lin
Let be a compact K{ä}hler manifold of dimension three. We prove that there exists a projective manifold such that . We also prove the bimeromorphic e…
Nori motives of curves with modulus and Laumon 1-motives
Florian Ivorra, Takao Yamazaki
Let be a number field. We describe the category of Laumon 1-isomotives over as the universal category in the sense of Nori associated with a quiver representation built out…
Reconstructing plane quartics from their invariants
Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling
We present an explicit method that, given a generic tuple of Dixmier-Ohno invariants, reconstructs a corresponding plane quartic curve.
Constructible isocrystals
Bernard Le Stum
We introduce a new category of coefficients for p-adic cohomology called constructible isocrystals. Conjecturally, the category of constructible isocrystals endowed with a Frobeniu…
Artin approximation compatible with a change of variables
Goulwen Fichou, Ronan Quarez, Masahiro Shiota
We propose a version of the classical Artin approximation which allows to perturb the variables of the approximated solution. Namely, it is possible to approximate a formal solutio…
Distributions of traces of Frobenius for smooth plane curves over finite fields
Reynald Lercier, Christophe Ritzenthaler, Florent Rovetta +2
In a previous article, we obtained data on the distribution of traces of Frobenius of non-hyperelliptic genus curves over small finite fields. In the present one, we give a heu…
Stability of the tangent bundle of G/P in positive characteristics
Indranil Biswas, Pierre-Emmanuel Chaput, Christophe Mourougane
Let be an almost simple simply-connected affine algebraic group over an algebraically closed field of characteristic . If has type , or , we assu…
Formal confluence of quantum differential operators
Bernard Le Stum, Adolfo Quirós
We prove that a usual differential operator is formally the limit of quantum differential operators. For this purpose, we introduce the notion of twisted differential operator of i…
Mapping Class Groups of Trigonal Loci
Michele Bolognesi, Michael Lönne
In this paper we study the topology of the stack of smooth trigonal curves of genus g, over the complex field. We make use of a construction by the first named auth…
Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields
Reynald Lercier, Christophe Ritzenthaler, Florent Rovetta +1
We study new families of curves that are suitable for efficiently parametrizing their moduli spaces. We explicitly construct such families for smooth plane quartics in order to det…
Computing separable isogenies in quasi-optimal time
David Lubicz, Damien Robert
Let be an abelian variety of dimension together with a principal polarization defined over a field . Let be an odd integer prime to the…
Dynamical degrees of birational transformations of projective surfaces
Jérémy Blanc, Serge Cantat
The dynamical degree of a birational transformation measures the exponential growth rate of the degree of the formulae that define the -th iterate of . We study th…
Tissus algébriques exceptionnels
Luc Pirio
In arXiv:1302.3142, it has been proved that for r>1, n>1 and d>(r+1)(n-1)+1, a d-web of type (r,n) with maximal rank is algebraizable in the classical sense, except maybe when n>2…
Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group
Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling
This paper is devoted to the explicit description of the Galois descent obstruction for hyperelliptic curves of arbitrary genus whose reduced automorphism group is cyclic of order…
Complexe de poids des variétés algébriques réelles avec action
Fabien Priziac
Using the functoriality of C. McCrory and A. Parusiński's weight complex -which induces an analog of the weight filtration for complex algebraic varieties on the Borel-Moore homolo…
An explicit expression of the Luroth invariant
Romain Basson, Reynald Lercier, Christophe Ritzenthaler +1
In this short note, we give an algorithm to get an explicit expression of the Luroth invariant in terms of the Dixmier-Ohno invariants. We also get the explicit factorized expressi…
The Tate conjecture for K3 surfaces over finite fields
François Charles
Artin's conjecture states that supersingular K3 surfaces over finite fields have Picard number 22. In this paper, we prove Artin's conjecture over fields of characteristic p>3. Thi…