1 citations · 1 across the 4 of their papers we have counts for
5 papers
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…
The blow-up of a singularity at the module of derivations
Paul Barajas, Enrique Chávez-Martínez, Agustín Romano-Velázquez
We study the problem of resolving singularities via the blow-up of the module of derivations. Our main results are a positive answer for the case of curves and log-canonical surfac…
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.
A Nobile-like theorem for jet schemes of hypersurfaces
Paul Barajas, Daniel Duarte
We prove that, for the jet scheme of a singular hypersurface, the blowup of a certain jet-related module is not an isomorphism. In conjunction with recent developments in the theor…
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…