25 citations · 48 across the 10 of their papers we have counts for
8 papers · 1 filter
Curve neighborhoods of Schubert Varieties in the odd symplectic Grassmannian
Clelia Pech, Ryan M. Shifler
Let $\mbox{IG}(k,2n+1)$ be the odd symplectic Grassmannian. It is a quasi-ho\-mo\-ge\-neous space with homogeneous-like behavior. A very limited description of curve neighborhoods…
Geometry of horospherical varieties of Picard rank one
Richard Gonzales, Clélia Pech, Nicolas Perrin +1
We study the geometry of non-homogeneous horospherical varieties. These have been classified by Pasquier and include the well-known odd symplectic Grassmannians. We focus our study…
Stringy invariants for horospherical varieties of complexity one
Kevin Langlois, Clélia Pech, Michel Raibaut
In this paper we determine the stringy motivic volume of log terminal horospherical -varieties of complexity one, where is a connected reductive linear algebraic group. The…
On Landau-Ginzburg models for quadrics and flat sections of Dubrovin connections
Clélia Pech, Konstanze Rietsch, Lauren Williams
This paper proves a version of mirror symmetry expressing the (small) Dubrovin connection for even-dimensional quadrics in terms of a mirror-dual Landau-Ginzburg model (Xcan,W). He…
A comparison of Landau-Ginzburg models for odd dimensional Quadrics
C. Pech, K. Rietsch
In [Rie08], the second author defined a Landau-Ginzburg model for homogeneous spaces G/P. In this paper, we reformulate this LG model in the case of the odd-dimensional quadric X=Q…
A Landau-Ginzburg model for Lagrangian Grassmannians, Langlands duality and relations in quantum cohomology
C. Pech, K. Rietsch
In [Rie08], the second author defined a Landau-Ginzburg model for homogeneous spaces G/P, as a regular function on an affine subvariety of the Langlands dual group. In this paper,…