Full-Rank Valuations and Toric Initial Ideals

DOI10.1093/imrn/rnaa071zbMath1477.14082arXiv1903.11068OpenAlexW2923382720MaRDI QIDQ3382592

Lara Bossinger

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.11068

zbMATH Keywords

flag varietyvaluationtoric degenerationsvalue semigroupNewton-Okounkov bodiesweighting matrixinitial formquasi-valuationfull-rank

Mathematics Subject Classification ID

Combinatorial aspects of tropical varieties (14T15) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Grassmannians, Schubert varieties, flag manifolds (14M15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Valuations and their generalizations for commutative rings (13A18)

Related Items (5)

Toric degenerations of partial flag varieties and combinatorial mutations of matching field polytopes ⋮ Combinatorial mutations of Newton-Okounkov polytopes arising from plabic graphs ⋮ The Loewner–Kufarev energy and foliations by Weil–Petersson quasicircles ⋮ Adjacency for scattering amplitudes from the Gröbner fan ⋮ Families of Gröbner degenerations, Grassmannians and universal cluster algebras

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