29 citations · 88 across the 9 of their papers we have counts for
3 papers · 1 filter
Computing integral bases via localization and Hensel lifting
Janko Boehm, Wolfram Decker, Santiago Laplagne +1
We present a new algorithm for computing integral bases in algebraic function fields of one variable, or equivalently for constructing the normalization of a plane curve. Our basic…
Parallel algorithms for normalization
Janko Boehm, Wolfram Decker, Santiago Laplagne +3
Given a reduced affine algebra A over a perfect field K, we present parallel algorithms to compute the normalization \bar{A} of A. Our starting point is the algorithm of Greuel, La…
Normalization of Rings
Gert-Martin Greuel, Santiago Laplagne, Frank Seelisch
We present a new algorithm to compute the integral closure of a reduced Noetherian ring in its total ring of fractions. A modification, applicable in positive characteristic, where…