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arxiv: 1709.09734 · v1 · pith:HW6ZQP4Qnew · submitted 2017-09-27 · 🧮 math.AG · math.CO· math.RA

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

classification 🧮 math.AG math.COmath.RA
keywords degenerationssemi-toricbodiesnewton-okounkovvarietiesalgebraconstructcoordinate
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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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