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math.AG2026
The moduli space of cubic surfaces and its orbifold fundamental group
Daniel Allcock, Tathagata Basak, Eduard Looijenga
We find a new presentation of the orbifold fundamental group of the moduli space of cubic surfaces, based on the Artin group of the Petersen graph. This group has two well-known qu…
math.AG2026
Level structures on cyclic covers of and the homology of Fermat hypersurfaces
Eduard Looijenga
Let be a smooth projective hypersurface of degree and let be the -cover totally ramified along . We relate full level…