We construct a family of compactifications of the affine cone of the Grassmannian variety of -planes. We show that both the tropical variety of the Plücker ideal and familiar valuations associated to the construction of Newton-Okounkov bodies for the Grassmannian variety can be recovered from these compactifications. In this way, we unite various perspectives for constructing toric degenerations of flag varieties.
|Number of pages||33|
|Journal||Canadian Journal of Mathematics|
|State||Published - Feb 12 2022|
Bibliographical noteFunding Information:
C.M. was supported by the NSF (DMS 1500966) and a Simons Collaboration Grant.
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- Newton-Okounkov body
- Tropical geometry
ASJC Scopus subject areas
- Mathematics (all)