4 papers
Automorphisms of the moduli space of smooth cubic surfaces and its fundamental group
Gregorio Baldi, Benson Farb, Ariyan Javanpeykar +1
Let be the moduli space of smooth complex cubic surfaces and let be its (orbifold) fundamental group. We prove that the ``divisor subgroup'' of $Ï…
Essential dimension relative to branched covers of degree at most n
Benson Farb, Jesse Wolfson
We prove for various finite groups and integers that there are families of equations with Galois group that cannot be simplified to a one-parameter family even af…
The smooth Mordell-Weil group and mapping class groups of elliptic surfaces
Benson Farb, Eduard Looijenga
This is a paper in smooth -manifold topology, inspired by the Néron-Lang Theorem in number theory. More precisely, we prove that a smooth version $\MW(Ï)$ of Mordell-Weil grou…
Moduli spaces and period mappings of genus one fibered K3 surfaces
Benson Farb, Eduard Looijenga
In this paper we construct various moduli spaces of K3 surfaces equipped with a surjective holomorphic map $Ï:M\to\Pb^1$ with generic fiber a complex torus (e.g., an elliptic…