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arXiv · 2403.08071

Schubert valuations on Grassmann varieties

Rocco Chirivì·Xin Fang·Peter Littelmann
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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.

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Rocco Chirivì, Xin Fang, Peter Littelmann. 2024-03-12. Schubert valuations on Grassmann varieties. https://arxiv.org/abs/2403.08071

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