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Lattice points in Minkowski sums (2007)

Abstract
Fakhruddin has proved that for two lattice polygons P and Q any lattice point in their Minkowski sum can be written as a sum of a lattice point in P and one in Q, provided P is smooth and the normal fan of P is a subdivision of the normal fan of Q. We give a shorter combinatorial proof of this fact that does not need the smoothness assumption on P.. Comment: 5 pages, 4 figures

Publication details
Download http://arxiv.org/abs/0711.4393
Repository arXiv (United States)
Keywords Mathematics - Combinatorics, Mathematics - Commutative Algebra, Mathematics - Algebraic Geometry, 52B20, 14M25
Type text