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

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

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	61-73
Number of pages	13
Journal	Nagoya Mathematical Journal
Volume	222
DOIs	https://doi.org/10.1017/nmj.2016.10
Publication status	Published - 2016 Jun 1
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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title = "On hilbert functions of general intersections of ideals",

abstract = "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.",

author = "Giulio Caviglia and Satoshi Murai",

year = "2016",

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AU - Caviglia, Giulio

AU - Murai, Satoshi

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AB - 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.

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JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

ER -

On hilbert functions of general intersections of ideals

Abstract

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