2 papers
math.AC2005
Truncated Groebner fans and lattice ideals
Niels Lauritzen
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 smal…
math.AC2005★ 6 cited
Homogeneous Buchberger algorithms and Sullivant's computational commutative algebra challenge
Niels Lauritzen
We give a variant of the homogeneous Buchberger algorithm for positively graded lattice ideals. Using this algorithm we solve the Sullivant computational commutative algebra challe…