Tangentially degenerate monomial curves

This paper shows that a certain space monomial curve is a tangentially degenerate curve such that all nonzero orders of hyperplanes at any point are not divisible by the characteristic of the ground field. This indicates that a conjecture presented by Kaji in 2014 does not hold true.

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Publication Details

Journal
Rendiconti Lincei Matematica e Applicazioni
Published
2025-03-05
DOI
https://doi.org/10.4171/rlm/1043
Primary Topic
Commutative Algebra and Its Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Tangentially degenerate monomial curves

Satoru Fukasawa
Rendiconti Lincei Matematica e Applicazioni
Commutative Algebra and Its Applications
article

Tangentially degenerate monomial curves

Satoru Fukasawa
article en

Abstract

This paper shows that a certain space monomial curve is a tangentially degenerate curve such that all nonzero orders of hyperplanes at any point are not divisible by the characteristic of the ground field. This indicates that a conjecture presented by Kaji in 2014 does not hold true.

Rendiconti Lincei Matematica e ApplicazioniVol. 35(3)
Yamagata University Hospital (JP)
Japan Society for the Promotion of Science
Openalex Percentile: Top 93%
Commutative Algebra and Its Applications
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Tangentially degenerate monomial curves — Satoru Fukasawa · Rendiconti Lincei Matematica e Applicazioni (2025) | TGRS Research Map | TGRS