Well-poised hypersurfaces

Joseph Cecil, Neelav Dutta, Christopher Manon, Benjamin Riley, Angela Vichitbandha

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)2645-2654
Number of pages10
JournalCommunications in Algebra
Issue number6
StatePublished - 2021

Bibliographical note

Funding 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.

Publisher Copyright:
© 2021 Taylor & Francis Group, LLC.


  • Newton-Okounkov body
  • Tropical Geometry

ASJC Scopus subject areas

  • Algebra and Number Theory


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