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arXiv · 2008.00060

Well-Poised Hypersurfaces

Joseph Cecil·Neelav Dutta·Christopher Manon·Benjamin Riley·Angela Vichitbandha
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Abstract

An ideal $I$ is said to be "well-poised" if all of the initial ideals obtained from points in the tropical variety $Trop(I)$ 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.

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Joseph Cecil, Neelav Dutta, Christopher Manon, Benjamin Riley, Angela Vichitbandha. 2020-07-31. Well-Poised Hypersurfaces. https://arxiv.org/abs/2008.00060

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