55 citations · 152 across the 16 of their papers we have counts for
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Local to global algorithms for the Gorenstein adjoint ideal of a curve
Janko Boehm, Wolfram Decker, Santiago Laplagne +1
We present new algorithms for computing adjoint ideals of curves and thus, in the planar case, adjoint curves. With regard to terminology, we follow Gorenstein who states the adjoi…
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…
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…