Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 199-231 |
| Number of pages | 33 |
| Journal | Canadian Journal of Mathematics |
| Volume | 74 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 12 2022 |
Bibliographical note
Publisher Copyright:© 2022 Cambridge University Press. All rights reserved.
Funding
C.M. was supported by the NSF (DMS 1500966) and a Simons Collaboration Grant.
| Funders | Funder number |
|---|---|
| National Science Foundation Arctic Social Science Program | DMS 1500966 |
Keywords
- Compactification
- Newton-Okounkov body
- Tropical geometry
ASJC Scopus subject areas
- General Mathematics
Fingerprint
Dive into the research topics of 'Tropical geometry and Newton-Okounkov cones for Grassmannian of planes from compactifications'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver