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A combinatorial proof of Gotzmann's persistence theorem for monomial ideals

Satoshi Murai
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Abstract

Gotzmann proved the persistence for minimal growth for ideals. His theorem is called Gotzmann's persistence theorem. In this paper, based on the combinatorics on binomial coefficients, a simple combinatorial proof of Gotzmann's persistence theorem in the special case of monomial ideals is given.

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Satoshi Murai. 2005-04-21. A combinatorial proof of Gotzmann's persistence theorem for monomial ideals. https://arxiv.org/abs/math/0504429

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