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arXiv · 2403.14424

On a conjecture of Moreno-Fr\'{i}as and Rosales for numerical semigroups

Masahiro Watari
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Abstract

The present paper addresses a semimodule counting conjecture of Moreno-Fr\'{i}as and Rosales for numerical semigroups. Applying Pfister and Steenbrink's Theory for punctual Hilbert schemes of curve singularities, we show that this conjecture is true for any numerical semigroup.

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Masahiro Watari. 2024-03-21. On a conjecture of Moreno-Fr\'{i}as and Rosales for numerical semigroups. https://arxiv.org/abs/2403.14424

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