Lattice points in Minkowski sums (Q1010664)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lattice points in Minkowski sums |
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Lattice points in Minkowski sums (English)
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7 April 2009
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Summary: 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 \(P\).
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