4 papers
The blow-up of a singularity at the module of derivations
Paul Barajas, Enrique Chávez-MartÃnez, AgustÃn Romano-Velázquez
We study the problem of resolving singularities via the blow-up of the module of derivations. Our main results are a positive answer for the case of curves and log-canonical surfac…
Exceptional loci of F-blowups and -Hilbert schemes
Enrique Chávez-MartÃnez, Yutaro Kaijima, Takehiko Yasuda
We study exceptional loci of F-blowups of normal toric varieties. In the $\Q$-factorial case, this study amounts to studying the exceptional loci of -Hilbert schemes. We give a…
Lipschitz saturation of toric singularities in any dimension
François Bernard, Enrique Chávez-MartÃnez, Arturo E. Giles Flores
We describe the semigroup of the Lipschitz saturation of a complex analytic toric singularity in arbitrary dimension. We give a necessary and sufficient condition for a monomial in…
F-blowups and essential divisors for toric varieties
Enrique Chávez-MartÃnez, 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…