English

Groebner deformations, connectedness and cohomological dimension

Commutative Algebra 2011-09-19 v3 Algebraic Geometry

Abstract

This paper is an outcome of the author's master thesis written under the supervision of Aldo Conca. We prove some results relating connectedness properties with (local) cohomological dimension. As an interesting corollary we have that every initial complex of a Cohen-Macaulay ideal is strongly connected.

Keywords

Cite

@article{arxiv.0802.1800,
  title  = {Groebner deformations, connectedness and cohomological dimension},
  author = {Matteo Varbaro},
  journal= {arXiv preprint arXiv:0802.1800},
  year   = {2011}
}

Comments

17 pages

R2 v1 2026-06-21T10:12:11.969Z