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20182026
most citedA Nobile-like theorem for jet schemes of hypersurfaces

1 citations · 1 across the 4 of their papers we have counts for

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math.AC2026

n-trivial extensions and multi Hasse-Schmidt derivations

Paul Barajas, Daniel Duarte

We propose a generalization of Hasse-Schmidt derivations that is equivalent to the notion of n-trivial extension introduced by Anderson-Bennis-Fahid-Shaiea, in the same way that de…

math.AC2023

High-order derivations of the Hasse-Schmidt algebra

Paul Barajas

In this paper we establish relations among the module of high-order derivations of the Hasse-Schmidt algebra and the module of high-order derivations of the base ring.

math.AC2018

On the module of differentials of order of hypersurfaces

Paul Barajas, Daniel Duarte

We give an explicit presentation of the module of differentials of order of a finitely generated algebra via a higher-order Jacobian matrix. We use the presentation to study so…