On hilbert functions of general intersections of ideals

Giulio Caviglia; Satoshi Murai

doi:10.1017/nmj.2016.10

On hilbert functions of general intersections of ideals

Giulio Caviglia, Satoshi Murai

研究成果 › 査読

1 被引用数 (Scopus)

抄録

Let I and J be homogeneous ideals in a standard graded polyno- mial ring. We study upper bounds of the Hilbert function of the intersection of I and g(J), where g is a general change of coordinates. Our main result gives a generalization of Green's hyperplane section theorem.

本文言語	English
ページ（範囲）	61-73
ページ数	13
ジャーナル	Nagoya Mathematical Journal
巻	222
DOI	https://doi.org/10.1017/nmj.2016.10
出版ステータス	Published - 2016 6月 1
外部発表	はい

ASJC Scopus subject areas

数学 (全般)

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10.1017/nmj.2016.10

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JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

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On hilbert functions of general intersections of ideals

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