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.AG2024
Bitangents of real algebraic curves: signed count and constructions
Thomas Blomme, Erwan Brugallé, Cristhian Garay
We study real bitangents of real algebraic plane curves from two perspectives. We first show that there exists a signed count of such bitangents that only depends on the real topol…
math.AG2019
Inflection divisors of linear series on an elliptic curve
Ethan Cotterill, Cristhian Garay López
In this largely-expository note, we describe a class of divisors on elliptic curves that index the inflection points of linear series arising (as subspaces of holomorphic sections)…