4 papers
Automorphism groups of rigid complete intersections
Jorge Duque Franco, Alvaro Liendo, Ana Julisa Palomino
We study the automorphism groups of complete intersections of hypersurfaces of strictly increasing degrees in projective space. Under a combinatorial rigidity condition on the tupl…
A one-step counterexample to the normalized Nash blowup conjecture
Alvaro Liendo, Ana Julisa Palomino, Gonzalo Rodríguez
We construct an explicit normal singular affine toric variety X of dimension five over an algebraically closed field of characteristic three such that the normalized Nash blowup of…
Non-normalized Nash blowup fails to resolve singularities in dimension three
Federico Castillo, Daniel Duarte, Maximiliano Leyton-Álvarez +1
In this paper we show that iterating (non-normalized) Nash blowups does not necessarily resolve the singularities of algebraic varieties of dimension three over fields of character…
On a Computational Approach to the Nash Blowup Problem
Federico Castillo, Daniel Duarte, Maximiliano Leyton-Álvarez +1
In this paper we describe the implementation that led to the counterexamples to the Nash blowup conjectures recently discovered by the authors. We also provide new examples of tori…