12 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Institut de Recherche Mathématique AvancéeFR147 papers
- Université de StrasbourgFR9 papers
- Institut national de recherche en sciences et technologies du numériqueFR8 papers
- Laboratoire Jacques-Louis LionsFR8 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Laboratoire Analyse, Géométrie et ApplicationsFR6 papers
- Laboratoire de Mathématiques Jean LerayFR5 papers
- Université de LorraineFR5 papers
- Université Paris CitéFR5 papers
- Institut Élie Cartan de LorraineFR4 papers
- Laboratoire de Mathématiques d'OrsayFR4 papers
- Laboratoire de Mathématiques Raphaël SalemFR4 papers
21 papers · 1 filter
Chern classes of Laughlin bundles on the quasihole moduli space
Florent Dupont, Semyon Klevtsov
We study fractional quantum Hall states with quasihole excitations, on Riemann surfaces of arbitrary genus. For configurations with quasiholes we construct a vector bundle abov…
Chern classes of the multilayer fractional quantum Hall bundle on Riemann surfaces
María Abad Aldonza, Florent Dupont
The so-called multilayer wave functions were introduced in the study of the fractional Quantum Hall effect by Halperin and others. They are defined with the help of a symmetric mat…
Simply connectedness and hyperbolicity
Erwan Rousseau, Carlo Gasbarri, Amos Turchet +1
We generalize to arbitrary dimension our previous construction of simply connected weakly-special but not special varieties. We show that they satisfy the function field and comple…
-modules holonomes sur une courbe formelle
Raoul Hallopeau
Let be a formal smooth curve over a complete discrete valuation ring of mixed characteristic . Let $\widehat{\mathcal{D}}^{(0)}_{\mathfrak{X},…
Fourier-Mukaï transform for -modules over formal abelian schemes
Florian Viguier
In 1996, Rothstein and Laumon simultaneously constructed a Fourier-Mukai transform for D-modules over a locally noetherian base of characteristic 0. This functor induces an equival…
Roots of Kostlan polynomials: moments, strong Law of Large Numbers and Central Limit Theorem
Michele Ancona, Thomas Letendre
We study the number of real roots of a Kostlan random polynomial of degree in one variable. More generally, we are interested in the distribution of the counting measure of the…
Computation of the divided Frobenius modulo p on the cristalline cohomology of some covering of the porjective line
Amandine Pierrot
In this paper, we introduce a family of hyper-elliptic curves. For this family we compute the matrix of the divided Frobenius and we obtain general formulas. We use a recent result…
Kobayashi hyperbolicity of the complements of general hypersurfaces of high degree
Damian Brotbek, Ya Deng
In this paper, we prove that in any projective manifold, the complements of general hypersurfaces of sufficiently large degree are Kobayashi hyperbolic. We also provide an effectiv…
On the positivity of the logarithmic cotangent bundle
Damian Brotbek, Ya Deng
The aim of this work is to construct examples of pairs whose logarithmic cotangent bundles have strong positivity properties. These examples are constructed from any smooth n-dimen…
Explicit symmetric differential forms on complete intersection varieties and applications
Damian Brotbek
In this paper we study the cohomology of tensor products of symmetric powers of the cotangent bundle of complete intersection varieties in projective space. We provide an explicit…
On the logarithmic connections over curves
Indranil Biswas, Viktoria Heu
We study two different actions on the moduli spaces of logarithmic connections over smooth complex projective curves. Firstly, we establish a dictionary between logarithmic orbifol…
Higher dimensional tautological inequalities and applications
Carlo Gasbarri, Gianluca Pacienza, Erwan Rousseau
We study the degeneracy of holomorphic mappings tangent to holomorphic foliations on projective manifolds. Using Ahlfors currents in higher dimension, we obtain several strong dege…
Degeneracy of holomorphic maps via orbifolds
Erwan Rousseau
We use orbifold structures to deduce degeneracy statements for holomorphic maps into logarithmic surfaces. We improve former results in the smooth case and generalize them to singu…
Rational connectedness modulo the Non-nef locus
Amaël Broustet, Gianluca Pacienza
It is well known that a smooth projective Fano variety is rationally connected. Recently Zhang (and later Hacon and McKernan as a special case of their work on the Shokurov RC-conj…
Generalized Demailly-Semple jet bundles and holomorphic mappings into complex manifolds
Gianluca Pacienza, Erwan Rousseau
Motivated by the Green-Griffiths conjecture, we study maximal rank holomorphic maps from $\C^p$ into complex manifolds. When such maps should in principle be more tractable t…
Hyperbolicity of geometric orbifolds
Erwan Rousseau
We study complex hyperbolicity in the setting of geometric orbifolds introduced by F. Campana. Generalizing classical methods to this context, we obtain degeneracy statements for e…
Hyperbolicité des variétés complexes
Erwan Rousseau
These notes were written for the Cours Peccot given at the Collège de France in 2007.
Logarithmic vector fields and hyperbolicity
Erwan Rousseau
In this article we prove that the complement of a very generic curve of degree at least equal to 14 in the complex projective plane is hyperbolic in the sense of Kobayashi. Thus, u…
Un théorème de Beilinson-Bernstein pour les D-modules arithmétiques
Christine Noot-Huyghe
One proves a Beilinson-Bernstein theorem in the context of arithmetic D-modules introduced by Berthelot, for flag varieties. This generalizes in the arithmetic context previous res…
Sur l'holonomie de D-modules arithmétiques associés à des F-isocristaux surconvergents sur des courbes lisses
Christine Noot-Huyghe, Fabien Trihan
We show that the arithmetic D-module associated to an overconvergent F-isocrystal over a smooth curve is holonomic. We first prove that unipotent F-isocrystals are holonomic D-modu…
Comparaison entre cohomologie cristalline et cohomologie étale -adique sur certaines variétés de Shimura
Sandra Rozensztajn
Let be an integral model at a prime of a Shimura variety of PEL type having good reduction, associated to a reductive group . To reprsententations of the…