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A Method to Compute the General Neron Desingularization in the Frame of One-Dimensional Local Domains

  • Adrian Popescu
  • Dorin PopescuEmail author
Chapter

Abstract

An algorithmic proof of General Neron Desingularization is given here for one-dimensional local domains, and it is implemented in SINGULAR. Also a theorem recalling Greenberg’ strong approximation theorem is presented for one-dimensional Cohen–Macaulay local rings.

Keywords

Regular morphisms Smooth morphisms Smoothing ring morphisms 

2010 Mathematics Subject Classification:

Primary 13B40 Secondary 14B25 13H05 13J15 

Notes

Acknowledgements

The support from the Department of Mathematics of the University of Kaiserslautern of the first author and the support from the project ID-PCE-2011-1023, granted by the Romanian National Authority for Scientific Research, CNCS - UEFISCDI of the second author are gratefully acknowledged. Both authors thank CIRM, Luminy who provided excellent conditions, and stimulative atmosphere in the main stage of our work.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of KaiserslauternKaiserslauternGermany
  2. 2.Simion Stoilow Institute of Mathematics of the Romanian Academy, Research Unit 5University of BucharestBucharestRomania

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