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.
|Number of pages||22|
|Journal||Nagoya Mathematical Journal|
|State||Published - Dec 1998|
ASJC Scopus subject areas
- Mathematics (all)