Johannes-Kepler-Research Center for Mathematics
PD Dr. Michael Hellus
 Matlis duals of local cohomology modules, complete intersections |
In Algebraic Geometry one is interested in the minimal number of (polynomial) equations that are needed to cut out a given variety; also one is interested in the more special question whether this given variety is a complete intersection or not. It was shown that the answer to at least the latter question is naturally encoded in the Matlis duals of certain local cohomology modules. It has turned out that the study of such Matlis duals leads to many further open questions (and results) on the structure of local cohomology modules. |