When is the canonical conductor minimal?

Özgür Esentepe

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arXiv · 2509.22966

When is the canonical conductor minimal?

Özgür Esentepe

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Abstract

For a one dimensional analytically unramified Cohen-Macaulay local ring $R$, the blowup algebra of the canonical ideal is a module finite birational extension. The conductor of this extension always contains the conductor of $R$. We study the case when there is equality. This is the case where $R$ is far from being almost Gorenstein. We study this property within the landscape of numerical semigroup rings and local Arf rings.

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Özgür Esentepe. 2025-09-26. When is the canonical conductor minimal?. https://arxiv.org/abs/2509.22966

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