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20172025
most citedConjecture holds for some Horospherical Varieties of Picard Rank 1

1 citations · 1 across the 6 of their papers we have counts for

collaborators

7 papers

math.AG2025

On the quantum parameter in the quantum cohomology of a family of odd symplectic partial flag varieties

Connor Bean, Caleb Shank, Ryan M. Shifler

We will consider a particular family of odd symplectic partial flag varieties denoted by $\mbox{IF}$. In the quantum cohomology ring $\mbox{QH}^*(\mbox{IF})$, we will show that $q_…

math.AG2025

Curve neighborhoods and combinatorial property for a family of odd symplectic partial flag manifolds

Connor Bean, Bradley Cruikshank, Ryan M. Shifler

Let be an odd dimensional complex vector space and $\mbox{IF}:=\mbox{IF}(1,2;E)$ be the family of odd symplectic partial flag manifold. In this paper we give a full description…

math.AG2025

On the spectral properties of the quantum cohomology of odd quadrics

Ryan M. Shifler, Stephanie Warman

Let $H^\bullet(\mbox{OG})$ be the quantum cohomology (specialized at ) of the dimensional quadric $\mbox{OG}$. We will calculate the characteristic polynomial of the li…

math.AG20201 cited

Conjecture holds for some Horospherical Varieties of Picard Rank 1

Lela Bones, Garrett Fowler, Lisa Schneider +1

Property for an arbitrary complex, Fano manifold , is a statement about the eigenvalues of the linear operator obtained from the quantum multiplication of the anti…

math.AG2020

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…

math.AG2020

Galkin's lower bound conjecture holds for the Grassmannian

La'Tier Evans, Lisa Schneider, Ryan M. Shifler +2

Let Gr be the Grassmannian. The quantum multiplication by the first Chern class induces an endomorphism of the finite-dimensional vector spac…