Well-poised hypersurfaces

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

doi:10.1080/00927872.2021.1879828

Well-poised hypersurfaces

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

Mathematics

Producción científica: Article › revisión exhaustiva

1 Cita (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	2645-2654
Número de páginas	10
Publicación	Communications in Algebra
Volumen	49
N.º	6
DOI	https://doi.org/10.1080/00927872.2021.1879828
Estado	Published - 2021

Nota bibliográfica

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

Financiación

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.

Financiadores	Número del financiador
National Science Foundation Arctic Social Science Program	DMS-1500966
Simons Foundation	587209

ASJC Scopus subject areas

Algebra and Number Theory

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AU - Dutta, Neelav

AU - Manon, Christopher

AU - Riley, Benjamin

AU - Vichitbandha, Angela

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AB - 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.

KW - Newton-Okounkov body

KW - Tropical Geometry

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Well-poised hypersurfaces

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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