An ideal I is said to be” well-poised” if all of the initial ideals obtained from points in the tropical variety (Formula presented.) are prime. This condition was first defined by Nathan Ilten and the third author. We classify all well-poised hypersurfaces over an algebraically closed field. We also compute the tropical varieties and associated Newton-Okounkov bodies of these hypersurfaces.
|Number of pages||10|
|Journal||Communications in Algebra|
|State||Published - 2021|
Bibliographical noteFunding Information:
The third author was supported by both the NSF (DMS-1500966) and the Simons Foundation (587209) during this project. We thank David Ma and Alston Crowley for many useful conversations. We also thank the UK Math Lab for hosting this project in the spring and fall of 2018.
© 2021 Taylor & Francis Group, LLC.
- Newton-Okounkov body
- Tropical Geometry
ASJC Scopus subject areas
- Algebra and Number Theory