346 citations · 963 across the 35 of their papers we have counts for
40 papers
Extremal mappings of tori, Teichmüller potentials and symmetric-space distance
Benson Farb, Eduard Looijenga
The symmetric space $X_n={\rm SL}(n,\Rb)/{\rm SO}(n)$ can be interpreted as the Teichmüller space of marked, unit volume, flat -dimensional tori. It comes with a unique (up to s…
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 $π_…
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 $\MW(π)$ of Mordell-Weil group…
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 $π:M\to\Pb^1$ with generic fiber a complex torus (e.g., an elliptic f…
Rigidity of moduli spaces and algebro-geometric constructions
Benson Farb
In this paper we propose two guiding principles that suggest a number of conjectures (some now proved) about various forms of rigidity for moduli spaces arising in algebraic geomet…