Degree bounds for generators of cohomology modules and Castelnuovo-Mumford regularity-Reference-Cited by-同舟云学术

Degree bounds for generators of cohomology modules and Castelnuovo-Mumford regularity

Published:1998-12 Issue: Volume:152 Page:153-174
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Nagel Uwe,Schenzel Peter

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference20 articles.

1. On K-buchsbaum curves in P3

2. A sharp Castelnuovo bound for smooth surfaces

3. Castelnuovo-Mumford Regularity and Hyperplane Sections

4. Bounding Cohomological Hilbert Functions by Hyperplane Sections

5. On Singular Curves in the Case of Positive Characteristic

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