74 citations · 277 across the 31 of their papers we have counts for
36 papers
Christophersen's problem for monomial algebras
Roberto Díaz, Alvaro Liendo
Christophersen's problem predicts that the connected component of the automorphism group of a finite-dimensional local algebra of dimension over an algebraically closed…
Twisted forms of classical hypersurfaces
Alvaro Liendo, Matías Vásquez
We count the twisted forms, over the field of real numbers and over finite fields, of the three classical families of smooth hypersurfaces with large automorphism group: the Fermat…
Automorphisms of prime power order of weighted hypersurfaces
Alvaro Liendo, Ana Julisa Palomino
We study automorphisms of quasi-smooth hypersurfaces in weighted projective spaces, extending classical results for smooth hypersurfaces in projective space to the weighted setting…
Characteristic-free normalized Nash blowup of toric varieties
Federico Castillo, Daniel Duarte, Maximiliano Leyton-Álvarez +1
We introduce conditions on cones of normal toric varieties under which the polyhedron defining the normalized Nash blowup does not depend on the characteristic of the base field. A…
Codimension two torus actions on the affine space
Alvaro Liendo, Charlie Petitjean
In this paper, we classify smooth, contractible affine varieties equipped with faithful torus actions of complexity two, having a unique fixed point and a two-dimensional algebraic…
Nash blowup fails to resolve singularities in dimensions four and higher
Federico Castillo, Daniel Duarte, Maximiliano Leyton-Álvarez +1
In this paper we show that iterating Nash blowups or normalized Nash blowups does not resolve the singularities of algebraic varieties of dimension four or higher over an algebraic…