Regularity of canonical and deficiency modules for monomial ideals

Manoj Kummini; Satoshi Murai

doi:10.2140/pjm.2011.249.377

Regularity of canonical and deficiency modules for monomial ideals

Manoj Kummini^*, Satoshi Murai

^*Corresponding author for this work

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

Abstract

We show that the Castelnuovo-Mumford regularity of the canonical or a deficiency module of the quotient of a polynomial ring by a monomial ideal is bounded by its dimension.

Original language	English
Pages (from-to)	377-383
Number of pages	7
Journal	Pacific Journal of Mathematics
Volume	249
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2011.249.377
Publication status	Published - 2011
Externally published	Yes

Keywords

Canonical modules
Castelnuovo-Mumford regularity

ASJC Scopus subject areas

Mathematics(all)

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10.2140/pjm.2011.249.377

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title = "Regularity of canonical and deficiency modules for monomial ideals",

abstract = "We show that the Castelnuovo-Mumford regularity of the canonical or a deficiency module of the quotient of a polynomial ring by a monomial ideal is bounded by its dimension.",

keywords = "Canonical modules, Castelnuovo-Mumford regularity",

author = "Manoj Kummini and Satoshi Murai",

year = "2011",

doi = "10.2140/pjm.2011.249.377",

language = "English",

volume = "249",

pages = "377--383",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "University of California, Berkeley",

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T1 - Regularity of canonical and deficiency modules for monomial ideals

AU - Kummini, Manoj

AU - Murai, Satoshi

PY - 2011

Y1 - 2011

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AB - We show that the Castelnuovo-Mumford regularity of the canonical or a deficiency module of the quotient of a polynomial ring by a monomial ideal is bounded by its dimension.

KW - Canonical modules

KW - Castelnuovo-Mumford regularity

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DO - 10.2140/pjm.2011.249.377

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EP - 383

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

Regularity of canonical and deficiency modules for monomial ideals

Abstract

Keywords

ASJC Scopus subject areas

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