4 citations · 9 across the 13 of their papers we have counts for
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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…
math.AG2018
Nash modification on toric curves
Daniel Duarte, Daniel Green Tripp
We revisit the problem of resolution of singularities of toric curves by iterating Nash modification. We give a bound on the number of iterations required to obtain the resolution.…
math.AG2018★ 3 cited
A higher-order tangent map and a conjecture on the higher Nash blowup of curves
Enrique Chavez Martinez, Daniel Duarte, Arturo Giles Flores
We introduce a higher-order version of the tangent map of a morphism and find a matrix representation. We then apply this matrix to solve a conjecture by T. Yasuda regarding the se…