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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
Petersen graph and monodromy of the 27 lines on the Clebsch surface
Tathagata Basak
Let be the orbifold fundamental group of the moduli space of smooth cubic surfaces in with base point at the Clebsch sur…