4 citations · 9 across the 13 of their papers we have counts for
11 papers · 1 filter
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 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…
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…
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…
On the zero locus of ideals defining the Nash blowup of toric surfaces
Daniel Duarte, Enrique Chavez Martinez
We consider the problem of finding an ideal whose blowup defines the Nash blowup of a toric surface and such that its zero locus coincides with the singular set of the toric surfac…
Computational aspects of the higher Nash blowup
Daniel Duarte
The higher Nash blowup of an algebraic variety replaces singular points with limits of certain spaces carrying higher-order data associated to the variety at non-singular points. I…
Higher Nash blowup on normal toric varieties
Daniel Duarte
The higher Nash blowup of an algebraic variety replaces singular points with limits of certain spaces carrying higher order data associated to the variety at non-singular points. I…
Nash modification on toric surfaces
Daniel Duarte
It has been recently shown that the iteration of Nash modification on not necessarily normal toric varieties corresponds to a purely combinatorial algorithm on the generators of th…