Degree bounds for generators of cohomology modules and castelnuovo-mumford regularity

Uwe Nagel; Peter Schenzel

doi:10.1017/S0027763000006838

Degree bounds for generators of cohomology modules and castelnuovo-mumford regularity

Uwe Nagel, Peter Schenzel

Mathematics

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

10 Scopus citations

Abstract

By extending Mumford's result on the generating by global sections there are estimates on the degree for generators of local cohomology modules. These arguments provide bounds on the Castelnuovo-Mumford regularity, in particular for Cohen-Macaulay varieties. As an application they imply a few more cases of varieties that satisfy a conjecture posed by Eisenbud and Gôto.

Original language	English
Pages (from-to)	153-174
Number of pages	22
Journal	Nagoya Mathematical Journal
Volume	152
DOIs	https://doi.org/10.1017/S0027763000006838
State	Published - Dec 1998

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Mathematics (all)

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title = "Degree bounds for generators of cohomology modules and castelnuovo-mumford regularity",

abstract = "By extending Mumford's result on the generating by global sections there are estimates on the degree for generators of local cohomology modules. These arguments provide bounds on the Castelnuovo-Mumford regularity, in particular for Cohen-Macaulay varieties. As an application they imply a few more cases of varieties that satisfy a conjecture posed by Eisenbud and G{\^o}to.",

author = "Uwe Nagel and Peter Schenzel",

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AU - Schenzel, Peter

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AB - By extending Mumford's result on the generating by global sections there are estimates on the degree for generators of local cohomology modules. These arguments provide bounds on the Castelnuovo-Mumford regularity, in particular for Cohen-Macaulay varieties. As an application they imply a few more cases of varieties that satisfy a conjecture posed by Eisenbud and Gôto.

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Degree bounds for generators of cohomology modules and castelnuovo-mumford regularity

Abstract

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