Well-Poised Hypersurfaces
Algebraic Geometry
2021-01-20 v2
Abstract
An ideal is said to be "well-poised" if all of the initial ideals obtained from points in the tropical variety 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 study the tropical varieties and associated Newton-Okounkov bodies of these hypersurfaces.
Cite
@article{arxiv.2008.00060,
title = {Well-Poised Hypersurfaces},
author = {Joseph Cecil and Neelav Dutta and Christopher Manon and Benjamin Riley and Angela Vichitbandha},
journal= {arXiv preprint arXiv:2008.00060},
year = {2021}
}
Comments
13 pages, 2 figures, to appear in Comm. Algebra