We present an implementation of an algorithm for computing minimal homogeneous generators and Hilbert functions of ideals of fat points. First we construct a set of generators by an interpolating method which is based on the Hermite interpolation and generalizes the algorithm of Moeller and Buchberger to projective space. Then, we minimalize the generators by the same algorithm which has been developed in a paper of Cioffi by exploiting results of I. Ramella and of Marinari, Moeller and Mora and which has been already successfully applied to ideals of points, to ideals of rational curves and to ideals of general parametric varieties.
Computation of minimal generators of ideals of fat points / Cioffi, Francesca; Orecchia, Ferruccio. - STAMPA. - (2001), pp. 72-76. (Intervento presentato al convegno ISSAC 2001 International Symposium on Symbolic Computation tenutosi a London, Ontario nel July 22-25, 2001) [10.1145/384101.384112].
Computation of minimal generators of ideals of fat points
CIOFFI, FRANCESCA;ORECCHIA, FERRUCCIO
2001
Abstract
We present an implementation of an algorithm for computing minimal homogeneous generators and Hilbert functions of ideals of fat points. First we construct a set of generators by an interpolating method which is based on the Hermite interpolation and generalizes the algorithm of Moeller and Buchberger to projective space. Then, we minimalize the generators by the same algorithm which has been developed in a paper of Cioffi by exploiting results of I. Ramella and of Marinari, Moeller and Mora and which has been already successfully applied to ideals of points, to ideals of rational curves and to ideals of general parametric varieties.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
