Milnor and Tjurina numbers for an isolated complete intersection singularity

2023/05/30 by A. J. Parameswaran, Parameswaran, A. J., Mohit Upmanyu +1
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Algebraic Geometry and Number Theory #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2305.18781

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 A\mathfrakmAC (introduced in arXiv:2204.05594) and as with such methods, the bound is purely existential.

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