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Showing math.ACShow all
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math.AC2009
On the generalized Scarf complex of lattice ideals
Hara Charalambous, Apostolos Thoma
Let be a field, be a lattice such that , and the corresponding lattice ideal…
math.AC2004
Complete Intersection Lattice Ideals
Marcel Morales, Apostolos Thoma
In this paper we completely characterize lattice ideals that are complete intersections or equivalently complete intersections finitely generated semigroups of $\bz^n\oplus T$ with…
math.AC2004
Projections of cones and the arithmetical rank of toric varieties
Anargyros Katsabekis
Let and be defining ideals of toric varieties such that is a projection of , i.e. . We give necessary and sufficient conditions for the eq…
math.AC2003
Stanley-Reisner rings and the radicals of lattice ideals
Anargyros Katsabekis, Marcel Morales, Apostolos Thoma
In this article we associate to every lattice ideal a cone and a graph with vertices the minimal generators of the Stanley-Reisner ideal…