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arXiv · 2401.01880

Homological properties of the relative Frobenius morphism

Peter M. McDonald
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Abstract

This work concerns maps of commutative noetherian local rings containing a field of positive characteristic. Given such a map $\varphi$ of finite flat dimension, the results relate homological properties of the relative Frobenius of $\varphi$ to those of the fibers of $\varphi$. The focus is on the complete intersection property and the Gorenstein property.

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Peter M. McDonald. 2024-01-03. Homological properties of the relative Frobenius morphism. https://doi.org/10.1090/proc/17182

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