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

Fang, X.; Littelmann, P.

doi:10.1090/mosc/273

From standard monomial theory to semi-toric degenerations via Newton–Okounkov bodies
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by X. Fang and P. Littelmann

Trans. Moscow Math. Soc. 2017, 275-297

DOI: https://doi.org/10.1090/mosc/273

Published electronically: December 1, 2017

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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.

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