English

On support varieties for modules over complete intersections

Commutative Algebra 2007-08-30 v1

Abstract

We show that, over a local complete intersection, every possible variety is realized as the cohomological support variety of some module. Moreover, we show that the projective variety of a complete indecomposable maximal Cohen-Macaulay module is connected.

Keywords

Cite

@article{arxiv.0708.3914,
  title  = {On support varieties for modules over complete intersections},
  author = {Petter Andreas Bergh},
  journal= {arXiv preprint arXiv:0708.3914},
  year   = {2007}
}

Comments

8 pages, to appear in Proc. Amer. Math. Soc

R2 v1 2026-06-21T09:11:42.407Z