Singular Manual: modnormal_lib

> | ### D.4.16 modnormal_lib Library: modnormal.lib Purpose: Normalization of affine domains using modular methods Authors: J. Boehm boehm@mathematik.uni-kl.de W. Decker decker@mathematik.uni-kl.de S. Laplagne slaplagn@dm.uba.ar G. Pfister pfister@mathematik.uni-kl.de A. Steenpass steenpass@mathematik.uni-kl.de S. Steidel steidel@mathematik.uni-kl.de Overview: Suppose A is an affine domain over a perfect field. This library implements a modular strategy for finding the normalization of A. Following [1], the idea is to apply the normalization algorithm given in [2] over finite fields and lift the results via Chinese remaindering and rational reconstruction as described in [3]. This approach is inherently parallel. The strategy is available both as a randomized and as a verified algorithm. References: [1] Janko Boehm, Wolfram Decker, Santiago Laplagne, Gerhard Pfister, Stefan Steidel, Andreas Steenpass: Parallel algorithms for normalization, preprint, 2011. [2] Gert-Martin Greuel, Santiago Laplagne, Frank Seelisch: Normalization of Rings, Journal of Symbolic Computation 9 (2010), p. 887-901 [3] Janko Boehm, Wolfram Decker, Claus Fieker, Gerhard Pfister: The use of Bad Primes in Rational Reconstruction, preprint, 2012. Procedures:
> D.4.16.1 modNormal |  | normalization of R/I using modular methods
See also: locnormal_lib; normal_lib.

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