English

Star operations on Kunz domains

Commutative Algebra 2018-06-01 v2

Abstract

We study star operations on Kunz domains, a class of analytically irreducible, residually rational domains associated to pseudo-symmetric numerical semigroups, and we use them to refute a conjecture of Houston, Mimouni and Park. We also find an estimate for the number of star operations in a particular case, and a precise counting in a sub-case.

Keywords

Cite

@article{arxiv.1805.10903,
  title  = {Star operations on Kunz domains},
  author = {Dario Spirito},
  journal= {arXiv preprint arXiv:1805.10903},
  year   = {2018}
}

Comments

correction to Proposition 3.4

R2 v1 2026-06-23T02:10:26.694Z