Giancarlo Urzúa

activity

20142023

collaborators

3 papers

math.AG2023

The Coble-Mukai lattice from $Q$ -Gorenstein deformations

Giancarlo Urzúa

We show some geometric properties of Enriques surfaces via $Q$ -Gorenstein smoothings of Coble surfaces. In particular, we explicitly identify the Enriques lattice of the ge…

math.AG2016

On Z/3-Godeaux surfaces

Stephen Coughlan, Giancarlo Urzúa

We prove that Godeaux--Reid surfaces with torsion group Z/3 have topological fundamental group Z/3. For this purpose, we describe degenerations to stable KSBA surfaces with one 1/4…

math.AG2014

KSBA surfaces with elliptic quotient singularities, $π_{1} = 1$ , $p_{g} = 0$ , and $K^{2} = 1, 2$

Arié Stern, Giancarlo Urzúa

Among log canonical surface singularities, the ones which have a rational homology disk smoothing are the cyclic quotient singularities $\frac{1}{n ^{2}} (1, na - 1)$ with gcd $(a, n) = 1$ , a…

The Coble-Mukai lattice from Q-Gorenstein deformations

On Z/3-Godeaux surfaces

KSBA surfaces with elliptic quotient singularities, π1​=1, pg​=0, and K2=1,2

The Coble-Mukai lattice from $Q$ -Gorenstein deformations

KSBA surfaces with elliptic quotient singularities, $π_{1} = 1$ , $p_{g} = 0$ , and $K^{2} = 1, 2$