55 citations · 152 across the 16 of their papers we have counts for
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math.AC2015★ 8 cited
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…
math.AC2015★ 2 cited
Gröbner Bases over Algebraic Number Fields
Dereje Kifle Boku, Claus Fieker, Wolfram Decker +1
Although Buchberger's algorithm, in theory, allows us to compute Gröbner bases over any field, in practice, however, the computational efficiency depends on the arithmetic of the g…