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math.AG2025
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…
math.GT2025
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…