Gordan's lemma

id: gordan-s-lemma-321-14969369
title: Gordan's lemma
text: Gordan's lemma is a lemma in convex geometry and algebraic geometry. It can be stated in several ways. Let A be a matrix of integers. Let M be the set of non-negative integer solutions of A ⋅ x = 0 . Then there exists a finite subset of vectors in M , such that every element of M is a linear combination of these vectors with non-negative integer coefficients. The semigroup of integral points in a rational convex polyhedral cone is finitely generated. An affine toric variety is an algebraic varie
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original url: https://en.wikipedia.org/wiki/Gordan%27s_lemma
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date modified: 2023-01-29T19:47:24Z
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