When is the canonical conductor minimal?

Özgür Esentepe

doi:10.48550/arxiv.2509.22966

September 26, 2025Open Access

When is the canonical conductor minimal?

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Key Points

Equality of the conductor of the blowup algebra and the local domain conductor has been classified.
The study identifies numerical semigroups that exhibit this equality property in their conductors.
The research is focused on one-dimensional analytically unramified local domains.
This work contributes to understanding birational extensions in the context of local domains.

Implication

Analysis reveals conditions for equality of canonical ideal conduits in local domains and semigroups.

Abstract

For a one dimensional analytically unramified local domain R, the blowup algebra of the canonical ideal is a birational extension. The conductor of this extension always contains the conductor of R. We study the case when there is equality and we classify numerical semigroups with this property.

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Özgür Esentepe (2025) studied this question.

synapsesocial.com/papers/68f6196ee0bbbc94fac364ad https://doi.org/10.48550/arxiv.2509.22966

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When is the canonical conductor minimal?

Key Points

Implication

Abstract

Discussion

Cite This Study

When is the canonical conductor minimal?

Key Points

Implication

Abstract

Discussion

Cite This Study

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