English

Schubert valuations on Grassmann varieties

Algebraic Geometry 2024-03-14 v1 Combinatorics

Abstract

The goal of the paper is twofold: on one side it provides an order structure on the set of all maximal chains in the Bruhat poset of Schubert varieties in a Grassmann variety; on the other hand, using this order structure, it works out explicit formulae for the valuation and the Newton-Okounkov body associated to each maximal chain appearing in the framework of Seshadri stratification.

Keywords

Cite

@article{arxiv.2403.08071,
  title  = {Schubert valuations on Grassmann varieties},
  author = {Rocco Chirivì and Xin Fang and Peter Littelmann},
  journal= {arXiv preprint arXiv:2403.08071},
  year   = {2024}
}

Comments

26 pages

R2 v1 2026-06-28T15:17:57.878Z