The second vanishing theorem in Stanley-Reisner ring with topological interpretation

Abstract

For regular local ring, the ``second vanishing theorem'' or ``SVT'' of local cohomology has been proved in several cases. In this paper, we explore the result similar to that of the SVT to Stanley-Reisner ring with an interpretation from combinatorial topology.

4 pages, there were gaps and errors in the previous version, results are also modified in this new version