238 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Nantes UniversitéFR266 papers
- Centre National de la Recherche ScientifiqueFR187 papers
- Université de NantesFR152 papers
- École Centrale de NantesFR48 papers
- Laboratoire de Mathématiques d'OrsayFR36 papers
- Institut de recherche mathématique de RennesFR25 papers
- Institut FourierFR25 papers
- Université Paris-SudFR25 papers
- Université Paris-SaclayFR17 papers
- Institut national de recherche en sciences et technologies du numériqueFR12 papers
- Analyse, Géométrie et ModélisationFR11 papers
- Institut de Mathématiques de BordeauxFR11 papers
35 papers · 1 filter
Asymptotic computations of tropical refined invariants in genus 0 and 1
Thomas Blomme, Gurvan Mével
Block and Göttsche introduced a Laurent polynomial multiplicity to count tropical curves. Itenberg and Mikhalkin then showed that this multiplicity leads to invariant counts called…
Bitangents of real algebraic curves: signed count and constructions
Thomas Blomme, Erwan Brugallé, Cristhian Garay
We study real bitangents of real algebraic plane curves from two perspectives. We first show that there exists a signed count of such bitangents that only depends on the real topol…
Universal polynomials for tropical refined invariants in genus 0
Gurvan Mével
In 2022, Brugall{é} and Jaramillo-Puentes showed that the coefficients of small codegree of the tropical refined invariant are polynomial in the Newton polygon. This raised the que…
Higher order Hochschild cohomology of schemes
Lucas Darbas
We show that Higher Hochschild complex associated to a connected pointed simplicial set commutes with localization of commutative algebras over a field of characteristic zero. Then…
Maximality of moduli spaces of vector bundles on curves
Erwan Brugallé, Florent Schaffhauser
We prove that moduli spaces of semistable vector bundles of coprime rank and degree over a non-singular real projective curve are maximal real algebraic varieties if and only if th…
Euler characteristic and signature of real semi-stable degenerations
Erwan Brugallé
We give a motivic proof of the fact that for non-singular real tropical complete intersections, the Euler characteristic of the real part is equal to the signature of the complex p…
On the invariance of Welschinger invariants
Erwan Brugallé
We collect in this note some observations about original Welschinger invariants of real symplectic fourfolds. None of their proofs is difficult, nevertheless these remarks do not s…
Real algebraic curves with large finite number of real points
Erwan Brugallé, Alex Degtyarev, Ilia Itenberg +1
We address the problem of the maximal finite number of real points of a real algebraic curve (of a given degree and, sometimes, genus) in the projective plane. We improve the known…
On the monodromy of the Hitchin connection
Yves Laszlo, Christian Pauly, Christoph Sorger
For any genus g > 1 we give an example of a family of smooth complex projective curves of genus g such that the image of the monodromy representation of the Hitchin connection on t…
Slodowy Slices and Universal Poisson Deformations
M. Lehn, Y. Namikawa, Ch. Sorger
We classify the nilpotent orbits in a simple Lie algebra for which the restriction of the adjoint quotient map to a Slodowy slice is the universal Poisson deformation of its centra…
On the quantum cohomology of adjoint varieties
Pierre-Emmanuel Chaput, Nicolas Perrin
We study the quantum cohomology of quasi-minuscule and quasi-cominuscule homogeneous spaces. The product of any two Schubert cells does not involve powers of the quantum parameter…
Towards a Littlewood-Richardson rule for Kac-Moody homogeneous spaces
Pierre-Emmanuel Chaput, Nicolas Perrin
We prove a general combinatorial formula yielding the intersection number of three particular -minuscule Schubert classes in any Kac-Moody homogeneous space, general…
A symplectic resolution for the binary tetrahedral group
Manfred Lehn, Christoph Sorger
We describe an explicit symplectic resolution for the quotient singularity arising from the four-dimensional symplectic represenation of the binary tetrahedral group.
On the adjoint quotient of Chevalley groups over arbitrary base schemes
Pierre-Emmanuel Chaput, Matthieu Romagny
For a split semisimple Chevalley group scheme G with Lie algebra g over an arbitrary base scheme S, we consider the quotient of g by the adjoint action of G. We study in detail the…
Affine symmetries of the equivariant quantum cohomology ring of rational homogeneous spaces
Pierre-Emmanuel Chaput, Laurent Manivel, Nicolas Perrin
Let be a rational homogeneous space and let be the group of invertible elements in the small quantum cohomology ring of localised in the quantum para…
Quantum cohomology of minuscule homogeneous spaces III : semi-simplicity and consequences
Pierre-Emmanuel Chaput, Laurent Manivel, Nicolas Perrin
We prove that the quantum cohomology ring of any minuscule or cominuscule homogeneous space, specialized at q=1, is semisimple. This implies that complex conjugation defines an alg…
On the tautological ring of a Jacobian modulo rational equivalence
Baohua Fu, Fabien Herbaut
We consider the Chow ring with rational coefficients of the Jacobian of a curve. Assume D is a divisor in a base point free g^r_d of the curve such that the canonical divisor K is…
Inductive characterizations of hyperquadrics
Baohua Fu
We give two characterizations of hyperquadrics: one as non-degenerate smooth projective varieties swept out by large dimensional quadric subvarieties passing through a point; the o…
Dual varieties of subvarieties of homogeneous spaces
Pierre-Emmanuel Chaput
A subvariety of a complex projective space has a well-known dual variety, which is the set of its tangent hyperplanes. The purpose of this paper is to generalise this notion for a…
Wreath products, nilpotent orbits and symplectic deformations
Baohua Fu
We recover a 4-dimensional wreath product X as a transversal slice to a nilpotent orbit in sp_6. By using deformations of Springer resolutions, we construct a symplectic deformatio…
On stratified Mukai flops
Pierre-Emmanuel Chaput, Baohua Fu
We construct a resolution of stratified Mukai flops of type A, D, E_{6, I} by successively blowing up smooth subvarieties. In the case of E_{6, I}, we construct a natural functor w…
Quantum cohomology of minuscule homogeneous spaces II : Hidden symmetries
Pierre-Emmanuel Chaput, Laurent Manivel, Nicolas Perrin
We prove that the quantum cohomology ring of any minuscule or cominuscule homogeneous space, once localized at the quantum parameter, has a non trivial involution mapping Schubert…
Quantum cohomology of minuscule homogeneous spaces
Pierre-Emmanuel Chaput, Laurent Manivel, Nicolas Perrin
We study the quantum cohomology of (co)minuscule homogeneous varieties under a unified perspective. We show that three points Gromov-Witten invariants can always be interpreted as…
Extremal contractions, stratified Mukai flops and Springer maps
Baohua Fu
We prove that two Springer maps over a nilpotent orbit closure with the same degree are connected by stratified Mukai flops and the latter is obtained by extremal contractions of a…