4 papers · 1 filter
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…