Clélia Pech
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View article: Curve neighborhoods of Schubert Varieties in the odd symplectic Grassmannian
Curve neighborhoods of Schubert Varieties in the odd symplectic Grassmannian Open
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 of Schubert varieties in $\mbox{IG}(k,2n+1)$ was used by Mi…
View article: Geometry of Horospherical Varieties of Picard Rank One
Geometry of Horospherical Varieties of Picard Rank One Open
We study the geometry of smooth non-homogeneous horospherical varieties of Picard rank one. These have been classified by Pasquier and include the well-known odd symplectic Grassmannians. We focus our study on quantum cohomology, with a vi…
View article: Equivariant homotopy commutativity for $G=C_{pqr}$
Equivariant homotopy commutativity for $G=C_{pqr}$ Open
We investigate the combinatorial data arising from the classification of equivariant homotopy commutativity for cyclic groups of order $G=C_{p_1 \cdots p_n}$ for $p_i$ distinct primes. In particular, we will prove a structural result which…
View article: Curve neighbourhoods for odd symplectic Grassmannians
Curve neighbourhoods for odd symplectic Grassmannians Open
Odd symplectic Grassmannians are a family of quasi-homogeneous varieties with properties nevertheless similar to those of homogeneous spaces, such as the existence of a Schubert-type cohomology basis. In this talk based on joint work with …
View article: Stringy invariants for horospherical varieties of complexity one
Stringy invariants for horospherical varieties of complexity one Open
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View article: A Comparison of Landau-Ginzburg Models for Odd Dimensional Quadrics
A Comparison of Landau-Ginzburg Models for Odd Dimensional Quadrics Open
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, we reformulate this LG model (X^, W_t) in the case of the o…
View article: On Landau–Ginzburg models for quadrics and flat sections of Dubrovin connections
On Landau–Ginzburg models for quadrics and flat sections of Dubrovin connections Open
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 View the MathML source(X?can,Wq). Here X?can is the complement of an an…
View article: Stringy invariants for horospherical varieties of complexity one
Stringy invariants for horospherical varieties of complexity one Open
In this paper we determine the stringy motivic volume of log terminal horospherical $G$-varieties of complexity one, where $G$ is a connected reductive linear algebraic group. The stringy motivic volume of a log terminal variety is an inva…