9 citations · 28 across the 6 of their papers we have counts for
10 papers
Degenerations of the complex projective plane with only rational singularities
Marcos Canedo, Giancarlo Urzúa
Wahl's conjecture states that two-dimensional singularities admitting a rational homology disk smoothing are weighted homogeneous. Assuming the conjecture, we classify all normal d…
The Craighero-Gattazzo surface is simply-connected
Julie Rana, Jenia Tevelev, Giancarlo Urzúa
We show that the Craighero-Gattazzo surface, the minimal resolution of an explicit complex quintic surface with four elliptic singularities, is simply-connected. This was conjectur…
KSBA surfaces with elliptic quotient singularities, , , and
Arié Stern, Giancarlo Urzúa
Among log canonical surface singularities, the ones which have a rational homology disk smoothing are the cyclic quotient singularities with gcd, a…
-Gorenstein smoothings of surfaces and degenerations of curves
Giancarlo Urzúa
In this paper we mainly describe -Gorenstein smoothings of projective surfaces with only Wahl singularities which have birational fibers. For instance, these degenerati…
Identifying neighbors of stable surfaces
Giancarlo Urzúa
We identify the stable surfaces around the stable limit of the examples of Y. Lee and J. Park [LP07], and H. Park, J. Park and D. Shin [PPS09] using the explicit 3-fold Mori theory…
A simply connected numerical Campedelli surface with an involution
Heesang Park, Dongsoo Shin, Giancarlo Urzua
We construct a simply connected minimal complex surface of general type with and which has an involution such that the minimal resolution of the quotient by the inv…