English

Milnor and Tjurina numbers for an isolated complete intersection singularity

Algebraic Geometry 2023-05-31 v1

Abstract

This paper aims to prove that given a isolated complete intersection singularity, the Milnor number will be bounded by a bound depending only on Tjurina number and dimension of the singularity. The proof uses Am\mathfrak{m}AC (introduced in arXiv:2204.05594) and as with such methods, the bound is purely existential.

Keywords

Cite

@article{arxiv.2305.18781,
  title  = {Milnor and Tjurina numbers for an isolated complete intersection singularity},
  author = {A. J. Parameswaran and Mohit Upmanyu},
  journal= {arXiv preprint arXiv:2305.18781},
  year   = {2023}
}
R2 v1 2026-06-28T10:50:16.943Z