$E_6$-local systems from cubic threefolds
Algebraic Geometry
2026-04-24 v1
Abstract
We produce infinitely many local systems on (level covers of) the moduli space of smooth cubic threefolds, with algebraic monodromy group equal to the exceptional group . These local systems arise in the middle cohomology of abelian \'etale covers of the Fano scheme parametrizing lines in the universal cubic threefold.
Keywords
Cite
@article{arxiv.2604.20970,
title = {$E_6$-local systems from cubic threefolds},
author = {Thomas Krämer and Daniel Litt and Marco Maculan},
journal= {arXiv preprint arXiv:2604.20970},
year = {2026}
}
Comments
26 pages, 1 figure, comments welcome