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arXiv · 2409.19093

Finiteness of Leaps in the sense of Hasse-Schmidt of reduced rings

A. Bravo·María de la Paz Tirado Hernández
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Abstract

We give sufficent conditions for a derivation of a $k$-algebra $A$ of finite type to be $\infty$-integrable in the sense of Hasse-Schmidt, when $A$ is a complete intersection, or when $A$ is reduced and $k$ is a regular ring. As a consequence, we prove that, if in addition $A$ contains a field, then the set of leaps of $A$ is finite along the minimal primes of certain Fitting ideal of $\Omega_{A/k}$.

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A. Bravo, María de la Paz Tirado Hernández. 2024-09-27. Finiteness of Leaps in the sense of Hasse-Schmidt of reduced rings. https://arxiv.org/abs/2409.19093

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