76 citations
- Nantes UniversitéFR20 papers
- Centre National de la Recherche ScientifiqueFR9 papers
- Laboratoire de Mathématiques Blaise PascalFR4 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR3 papers
- École PolytechniqueFR3 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR3 papers
- Institut FourierFR3 papers
- Laboratoire de Mathématiques de ReimsFR3 papers
- California Southern UniversityUS2 papers
- Centre Inria de SaclayFR2 papers
- Institut national de recherche en sciences et technologies du numériqueFR2 papers
- Toronto Metropolitan UniversityCA2 papers
15 papers · 1 filter
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…
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…