Degree bounds for generators of cohomology modules and Castelnuovo-Mumford regularity
Degree bounds for generators of cohomology modules and Castelnuovo-Mumford regularity
Abstract. By extending Mumfordā€™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 ā€¦