6 papers
Higher Nash blowups of normal toric varieties in prime characteristic
Daniel Duarte, Luis Núñez-Betancourt
We prove that the higher Nash blowup of a normal toric variety defined over a field of positive characteristic is an isomorphism if and only if it is non-singular. We also extend a…
Nash blowups in prime characteristic
Daniel Duarte, Luis Núñez-Betancourt
We initiate the study of Nash blowups in prime characteristic. First, we show that a normal variety is non-singular if and only if its Nash blowup is an isomorphism, extending a th…
On the -torsion of the module of differentials of order of hypersurfaces
Hernán de Alba, Daniel Duarte
We characterize the -torsion freeness of the module of differentials of order of a point of a hypersurface in terms of the singular locus of the corresponding local ring.
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…
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.…
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…