Degree bounds for generators of cohomology modules and Castelnuovo-Mumfordregularity

Authors
Nagel, U Schenzel, P
Citation
U. Nagel et P. Schenzel, Degree bounds for generators of cohomology modules and Castelnuovo-Mumfordregularity, NAG MATH J, 152, 1998, pp. 153-174
Citations number
20
Categorie Soggetti
Mathematics
Journal title
NAGOYA MATHEMATICAL JOURNAL
ISSN journal
00277630 → ACNP
Volume
152
Year of publication
1998
Pages
153 - 174
Database
ISI
SICI code
0027-7630(199812)152:<153:DBFGOC>2.0.ZU;2-U
Abstract
By extending Mumford's result on the generating by global sections there ar e estimates on the degree for generators of local cohomology modules. These arguments provide bounds on the Castelnuovo-Mumford regularity, in particu lar for Cohen-Macaulay varieties. As an application they imply a few more c ases of varieties that satisfy a conjecture posed by Eisenbud and Goto.