4 citations · 9 across the 13 of their papers we have counts for
17 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…
F-blowups and essential divisors for toric varieties
Enrique Chávez-Martínez, Daniel Duarte, Takehiko Yasuda
We investigate the relation between essential divisors and F-blowups, in particular, address the problem whether all essential divisors appear on the -th F-blowup for large enou…
Nash blowups of toric varieties in prime characteristic
Daniel Duarte, Jack Jeffries, Luis Núñez-Betancourt
We initiate the study of the resolution of singularities properties of Nash blowups over fields of prime characteristic. We prove that the iteration of normalized Nash blowups desi…
A semigroup defining the Gröbner degeneration of a toric ideal
Hernán de Alba Casillas, Daniel Duarte, Raúl Vargas Antuna
We give an explicit set of generators for the semigroup of the Gröbner degeneration of a toric ideal. This set of generators is used to study algebraic properties of the semigroup…
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…
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…