March 21, 2024Open Access

On a conjecture of Moreno-Fr\'ias and Rosales for numerical semigroups

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Resumen

The present paper addresses a semimodule counting conjecture of Moreno-Fr\'ias 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 (Thu,) studied this question.

synapsesocial.com/papers/68e73191b6db6435876ab4d6 https://doi.org/https://doi.org/10.48550/arxiv.2403.14424

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