Multigraded regularity, reduction vectors and postulation vectors
Abstract
We relate the set of complete reduction vectors of a Zs-graded admissible filtration of ideals F with the set of multigraded regularities of G(F). We prove reg(G(F))=reg(R(F)). We establish a relation between the sets of complete reduction vectors of F and postulation vectors of F under some cohomological conditions.
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