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

Adrian Popescu () and Dorin Popescu ()
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Adrian Popescu: University of Kaiserslautern, Department of Mathematics
Dorin Popescu: University of Bucharest, Simion Stoilow Institute of Mathematics of the Romanian Academy, Research Unit 5

A chapter in Singularities and Computer Algebra, 2017, pp 199-222 from Springer

Abstract: 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; Primary 13B40; Secondary 14B25; 13H05; 13J15 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-28829-1_10

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DOI: 10.1007/978-3-319-28829-1_10

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