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      A fast algorithm for constructing Arf closure and a conjecture

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      Author(s)
      Arslan, F.
      Şahin, N.
      Date
      2014
      Source Title
      Journal of Algebra
      Print ISSN
      0021-8693
      Electronic ISSN
      1090-266X
      Publisher
      Academic Press
      Volume
      417
      Pages
      148 - 160
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      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.
      Keywords
      Arf closure
      Arf ring
      Arf semigroup
      Branch
      Hilbert function
      Permalink
      http://hdl.handle.net/11693/25124
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.jalgebra.2014.06.023
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      • Department of Industrial Engineering 758
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