A fast algorithm for constructing Arf closure and a conjecture

作者：Arslan Feza^*; Sahin Nil

来源：Journal of Algebra, 2014, 417: 148-160.

DOI：10.1016/j.jalgebra.2014.06.023

• Branch
• Arf ring
• Arf closure
• Arf semigroup
• Hilbert function

In this article, we give a fast and an easily implementable algorithm for computing the Arf closure of an irreducible algebroid curve (or a branch). Moreover, we study the relation between the branches having the same Arf closure and their regularity indices. We give some results and a conjecture, which are steps towards the interpretation of Arf closure as a specific way of taming the singularity.

• 出版日期2014-11-1