# W-translated Schubert divisors and transversal intersections

@article{Hwang2022WtranslatedSD,
title={W-translated Schubert divisors and transversal intersections},
author={DongSeon Hwang and Hwayoung Lee and Jae-Hyouk Lee and Changzheng Li},
journal={Science China Mathematics},
year={2022},
volume={65},
pages={1997 - 2018}
}
• Published 16 June 2021
• Mathematics
• Science China Mathematics
We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety Fℓn1,…,nk;n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F{\ell _{{n_1}, \ldots,{n_k};n}}$$\end{document} via Gelfand-Cetlin polytopes. We propose a conjecture that Schubert varieties of appropriate dimensions…

## References

SHOWING 1-10 OF 41 REFERENCES

### Schubert Geometry of Flag Varieties and Gelfand-Cetlin Theory

This thesis investigates the connection between the geometry of Schubert varieties and Gelfand-Cetlin coordinates on ag manifolds. In particular, we discovered a connection between Schubert calculus

### Schubert puzzles and integrability I: invariant trilinear forms

• Mathematics
• 2017
The puzzle rules for computing Schubert calculus on $d$-step flag manifolds, proven in [Knutson Tao 2003] for $1$-step, in [Buch Kresch Purbhoo Tamvakis 2016] for $2$-step, and conjectured in [Coskun

### Projections of Richardson Varieties

• Mathematics
• 2010
While the projections of Schubert varieties in a full generalized flag manifold G/B to a partial flag manifold $G/P$ are again Schubert varieties, the projections of Richardson varieties

### A geometric Littlewood-Richardson rule

We describe a geometric Littlewood-Richardson rule, interpreted as deforming the intersection of two Schubert varieties into the union of Schubert varieties. There are no restrictions on the base

### Mirror symmetry and toric degenerations of partial flag manifolds

• Mathematics
• 1998
In this paper we propose and discuss a mirror construction for complete intersections in partial flag manifolds F (n1, . . . , nl, n). This construction includes our previous mirror construction for

### Note on cohomology rings of spherical varieties and volume polynomial

Let G be a complex reductive group and X a projective spherical G-variety. Moreover, assume that the subalgebra A of the cohomology ring H^*(X, R) generated by the Chern classes of line bundles has

### Gelfand–Zetlin polytopes and flag varieties

I construct a correspondence between the Schubert cycles on the variety of complete flags in ℂ n and some faces of the Gelfand-Zetlin polytope associated with the irreducible representation of SL n

### A Littlewood–Richardson rule for two-step flag varieties

This paper studies the geometry of one-parameter specializations of subvarieties of Grassmannians and two-step flag varieties. As a consequence, we obtain a positive, geometric rule for expressing