21 citations · 39 across the 13 of their papers we have counts for
4 papers · 2 filters
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…
Gorenstein locus of minuscule Schubert varieties
Nicolas Perrin
In this article, we describe explicitely the Gorenstein locus of all minuscule Schubert varieties. This proves a special case of a conjecture of A. Woo and A. Yong (see math.AG/060…
Small codimension smooth subvarieties in even-dimensional homogeneous spaces with Picard group
Nicolas Perrin
We investigate a method proposed by E. Arrondo and J. Caravantes to study the Picard group of a smooth low-codimension subvariety X in a variety Y when Y is homogeneous. We prove t…