Titlebook: Singularities and Computer Algebra; Festschrift for Gert Wolfram Decker,Gerhard Pfister,Mathias Schulze Book 2017 Springer International Pu

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https://doi.org/10.1007/978-3-319-28829-1singularity theory; algebraic geometry; topology; complex analysis; computer algebra; ordinary differenti

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

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On a Theorem of Greuel and Steenbrink,A famous theorem of Greuel and Steenbrink states that the first Betti number of the Milnor fibre of a smoothing of a normal surface singularity vanishes. In this paper we prove a general theorem on the first Betti number of a smoothing that implies an analogous result for weakly normal singularities.

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Wolfram Decker,Gerhard Pfister,Mathias SchulzeBrings together recent original research and survey articles by leading experts in singularity theory and computer algebra.Highlights a large variety of techniques, ranging from theoretical methods to

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