26 citations · 137 across the 41 of their papers we have counts for
5 papers · 2 filters
Projected Gromov-Witten varieties in cominuscule spaces
Anders S. Buch, Pierre-Emmanuel Chaput, Leonardo C. Mihalcea +1
A projected Gromov-Witten variety is the union of all rational curves of fixed degree that meet two opposite Schubert varieties in a homogeneous space X = G/P. When X is cominuscul…
Formal properties in small codimension
Jorge Caravantes, Nicolas Perrin
In this note we extend connectedness results to formal properties of inverse images under proper maps of Schubert varieties and of the diagonal in products of projective rational h…
Spherical multiple flags
Piotr Achinger, Nicolas Perrin
For a reductive group G, the products of projective rational varieties homogeneous under G that are spherical for G have been classified by Stembridge. We consider the B-orbit clos…
Split subvarieties of group embeddings
Nicolas Perrin
Let G be a connected reductive group and X an equivariant compactifiction of G. In X, we study generalised and opposite generalised Schubert varieties, their intersections called g…
Rational connectedness implies finiteness of quantum K-theory
Anders S. Buch, Pierre-Emmanuel Chaput, Leonardo C. Mihalcea +1
Let X be any generalized flag variety with Picard group of rank one. Given a degree d, consider the Gromov-Witten variety of rational curves of degree d in X that meet three genera…