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

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	2645-2654
Number of pages	10
Journal	Communications in Algebra
Volume	49
Issue number	6
DOIs	https://doi.org/10.1080/00927872.2021.1879828
State	Published - 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.

Keywords

Newton-Okounkov body
Tropical Geometry

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1080/00927872.2021.1879828

Cite this

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title = "Well-poised hypersurfaces",

abstract = "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.",

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AU - Cecil, Joseph

AU - Dutta, Neelav

AU - Manon, Christopher

AU - Riley, Benjamin

AU - Vichitbandha, Angela

N1 - 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.

PY - 2021

Y1 - 2021

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=85101081922&partnerID=8YFLogxK

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VL - 49

SP - 2645

EP - 2654

JO - Communications in Algebra

JF - Communications in Algebra

IS - 6

ER -

Well-poised hypersurfaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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