2 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.GT2024
On homology planes and contractible -manifolds
Rodolfo Aguilar Aguilar, OÄuz Åavk
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 provin…