3 papers
math.AG2026
A Real Shafarevich Conjecture for Universal Covers
Rodolfo Aguilar, Cristhian Garay
The classical Shafarevich conjecture predicts that the universal cover of a complex smooth projective variety is holomorphically convex. In this paper, we propose a refinement…
math.AG2023
The nilpotent quotients of normal quasi-projective varieties with proper quasi-Albanese map
Rodolfo Aguilar Aguilar, Frédéric Campana
We show that if is a normal complex quasi-projective variety, the quasi-Albanese map of which is proper, then the torsionfree nilpotent quotients of are, up to a contr…
math.GT2022
On homology planes and contractible -manifolds
Rodolfo Aguilar Aguilar, Oğuz Şavk
We call a non-trivial homology sphere a Kirby-Ramanujam sphere if it bounds both a homology plane and a Mazur or Poénaru manifold. In 1980, Kirby found the first example by proving…