9 citations · 36 across the 22 of their papers we have counts for
25 papers
Quintic surfaces with 18 cusps
Lev Borisov, Carlos Rito
We construct quintic surfaces in the three-dimensional projective space with ordinary cusps. Our starting point is the Barth--Rams description of quintics contai…
Explicit Bicanonical Models of Eight Fake Quadrics
Lev Borisov, Carlos Rito
We compute explicit defining equations for eight fake quadrics arising as -covers of two singular -Godeaux surfaces obtained in earlier w…
On a sequence of singular ball quotient surfaces on the line
Carlos Rito, Xavier Roulleau
Starting from computer experiments with the fundamental group of the Cartwright--Steger surface, we construct an infinite tower of normal projective surfaces obtai…
Computation of Singular Godeaux Surfaces and a New Explicit Fake Quadric (With an Appendix by Christian Gleissner and Noah Ruhland)
Carlos Rito, Christian Gleissner, Noah Ruhland
We present a computational method for detecting highly singular members in families of algebraic varieties. Applying this approach to a family of numerical Godeaux surfaces, we obt…
Examples of surfaces with canonical map of degree 4
Carlos Rito
We give two examples of surfaces with canonical map of degree 4 onto a canonical surface.
-Godeaux surfaces
Eduardo Dias, Carlos Rito
We prove that the moduli space of numerical Godeaux surfaces with torsion group is irreducible and unirational of dimension 8. Moreover, we show that the topological…