MINIMAL EQUATIONS FOR MATRIX SCHUBERT VARIETIES

Shiliang Gao; Alexander Yong

doi:10.1216/jca.2024.16.267

MINIMAL EQUATIONS FOR MATRIX SCHUBERT VARIETIES

Shiliang Gao, Alexander Yong

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

Abstract

Explicit minimal generators for Fulton’s Schubert determinantal ideals are determined along with some implications.

Original language	English (US)
Pages (from-to)	267-273
Number of pages	7
Journal	Journal of Commutative Algebra
Volume	16
Issue number	3
DOIs	https://doi.org/10.1216/jca.2024.16.267
State	Published - 2024
Externally published	Yes

Keywords

Gröbner basis
complete intersection
matrix Schubert varieties
minimal generators

ASJC Scopus subject areas

Algebra and Number Theory

Online availability

10.1216/jca.2024.16.267

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Cite this

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title = "MINIMAL EQUATIONS FOR MATRIX SCHUBERT VARIETIES",

abstract = "Explicit minimal generators for Fulton{\textquoteright}s Schubert determinantal ideals are determined along with some implications.",

keywords = "Gr{\"o}bner basis, complete intersection, matrix Schubert varieties, minimal generators",

author = "Shiliang Gao and Alexander Yong",

note = "We thank the referee for their helpful and detailed comments. The authors were supported by an NSF RTG in combinatorics. Additionally, Gao was supported by an NSF graduate fellowship, and Yong was supported by a Simons Collaboration Grant.",

year = "2024",

doi = "10.1216/jca.2024.16.267",

language = "English (US)",

volume = "16",

pages = "267--273",

journal = "Journal of Commutative Algebra",

issn = "1939-0807",

publisher = "Rocky Mountain Mathematics Consortium",

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AU - Gao, Shiliang

AU - Yong, Alexander

N1 - We thank the referee for their helpful and detailed comments. The authors were supported by an NSF RTG in combinatorics. Additionally, Gao was supported by an NSF graduate fellowship, and Yong was supported by a Simons Collaboration Grant.

PY - 2024

Y1 - 2024

N2 - Explicit minimal generators for Fulton’s Schubert determinantal ideals are determined along with some implications.

AB - Explicit minimal generators for Fulton’s Schubert determinantal ideals are determined along with some implications.

KW - Gröbner basis

KW - complete intersection

KW - matrix Schubert varieties

KW - minimal generators

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DO - 10.1216/jca.2024.16.267

M3 - Article

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SN - 1939-0807

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JO - Journal of Commutative Algebra

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ER -

MINIMAL EQUATIONS FOR MATRIX SCHUBERT VARIETIES

Abstract

Keywords

ASJC Scopus subject areas

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