English

A note on the Eisenbud-Mazur Conjecture

Commutative Algebra 2014-07-22 v1

Abstract

The Eisenbud-Mazur conjecture states that given an equicharacteristic zero, regular local ring (R,\mathfrak{m}) and a prime ideal P\subset R, we have that P^{(2)}\subseteq mP. In this paper, we computationally prove that the conjecture holds in the special case of certain prime ideals in formal power series rings.

Keywords

Cite

@article{arxiv.1407.5316,
  title  = {A note on the Eisenbud-Mazur Conjecture},
  author = {Ajinkya A More},
  journal= {arXiv preprint arXiv:1407.5316},
  year   = {2014}
}

Comments

21 pages

R2 v1 2026-06-22T05:08:25.754Z