English

Hochster's small MCM conjecture for three-dimensional weakly F-split rings

Commutative Algebra 2014-08-27 v1

Abstract

We prove Hochster's small MCM conjecture for three-dimensional complete F-pure rings. We deduce this from a more general criterion, and show that only a weakening of the notion of F-purity is needed, to wit, being weakly F-split. We conjecture that any complete ring is weakly F-split.

Cite

@article{arxiv.1408.6212,
  title  = {Hochster's small MCM conjecture for three-dimensional weakly F-split rings},
  author = {Hans Schoutens},
  journal= {arXiv preprint arXiv:1408.6212},
  year   = {2014}
}
R2 v1 2026-06-22T05:40:38.541Z