Matthew Grimm

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We study the Minkowski length L(P ) of a lattice polytope P , which is defined to be the largest number of non-trivial primitive segments whose Minkowski sum lies in P . The Minkowski length represents the largest possible number of factors in a factorization of polynomials with exponent vectors in P , and shows up in lower bounds for the minimum distance(More)
These notes are a significantly expanded version of the author’s lectures at the graduate workshop “Noncommutative algebraic geometry” held at the Mathematical Sciences Research Institute in June 2012. The main point of entry to the subject we chose was the idea of an Artin-Schelter regular algebra. The introduction of such algebras by Artin and Schelter(More)
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