This article is cited in 6 papers

From standard monomial theory to semi-toric degenerations via Newton–Okounkov bodies

X. Fang, P. Littelmann

Mathematisches Institut, Universität zu Köln, Cologne, Germany

Abstract: The Hodge algebra structures on the homogeneous coordinate rings of Grassmann varieties provide semi-toric degenerations of these varieties. In this paper we construct these semi-toric degenerations using quasi-valuations and triangulations of Newton–Okounkov bodies.

Key words and phrases: distributive lattice, Hibi variety, standard monomial theory, toric degeneration, Newton–Okounkov body, Grassmann variety.

UDC: 514.128, 512.725, 514.172.4

MSC: Primary 14M15; Secondary 14M25, 52B20

Received: 19.05.2017
Revised: 05.07.2017

Language: English

 English version: Transactions of the Moscow Mathematical Society, 2017, 78, 275–297

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