English

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

Commutative Algebra 2023-11-21 v3

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.

Keywords

Cite

@article{arxiv.2102.05270,
  title  = {The second vanishing theorem in Stanley-Reisner ring with topological interpretation},
  author = {Rajsekhar Bhattacharyya},
  journal= {arXiv preprint arXiv:2102.05270},
  year   = {2023}
}

Comments

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

R2 v1 2026-06-23T23:00:55.430Z