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Truncated Groebner fans and lattice ideals
[article]
2005
arXiv
pre-print
We outline a generalization of the Groebner fan of a homogeneous ideal with maximal cells parametrizing truncated Groebner bases. This "truncated" Groebner fan is usually much smaller than the full Groebner fan and offers the natural framework for conversion between truncated Groebner bases. The generic Groebner walk generalizes naturally to this setting by using the Buchberger algorithm with truncation on facets. We specialize to the setting of lattice ideals. Here facets along the generic
arXiv:math/0509247v1
fatcat:bvvf3jndxzhpfli23dxgjscbiu