English

Cohen-Macaulay local rings with $e_1 = e + 2$

Commutative Algebra 2019-07-29 v1

Abstract

In this paper we determine the possible Hilbert functions of a Cohen-Macaulay local ring of dimension dd, multiplicity ee and first Hilbert coefficient e1e_1 in the case e1=e+2e_1 = e + 2.

Cite

@article{arxiv.1907.11502,
  title  = {Cohen-Macaulay local rings with $e_1 = e + 2$},
  author = {Tony J. Puthenpurakal},
  journal= {arXiv preprint arXiv:1907.11502},
  year   = {2019}
}
R2 v1 2026-06-23T10:31:52.116Z