1 citations · 1 across the 1 of their papers we have counts for
10 papers
On wormholes in the moduli space of surfaces
Giancarlo Urzúa, Nicolás Vilches
We study a certain wormholing phenomenon that takes place in the Kollár--Shepherd-Barron--Alexeev (KSBA) compactification of the moduli space of surfaces of general type. It occurs…
Chilean configuration of conics, lines and points
Igor Dolgachev, Antonio Laface, Ulf Persson +1
Using the theory of rational elliptic fibrations, we construct and discuss a one parameter family of configurations of conics and points in the projective plane that reali…
On degenerations of -Godeaux surfaces
Eduardo Dias, Carlos Rito, Giancarlo Urzúa
We compute equations for Coughlan's family of Godeaux surfaces with torsion , which we call -Godeaux surfaces, and we show that it is (at most) 7 dimensio…
Bounding tangencies of sections on elliptic surfaces
Douglas Ulmer, Giancarlo Urzúa
Given an elliptic surface over a field of characteristic zero equipped with zero section and another section of infinite order, we give a si…
Savage Surfaces
Sergio Troncoso, Giancarlo Urzúa
Let be the topological fundamental group of a given nonsingular complex projective surface. We prove that the Chern slopes of minimal nonsingular projective s…
Rigid surfaces arbitrarily close to the Bogomolov--Miyaoka--Yau line
Matthew Stover, Giancarlo Urzúa
We prove the existence of rigid compact complex surfaces of general type whose Chern slopes are arbitrarily close to the Bogomolov--Miyaoka--Yau bound of . In addition, each of…