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math.AG2026
Geometric realisation of hypergeometric local systems
Asem Abdelraouf, Giulia Gugiatti
We prove a realisation theorem for irreducible hypergeometric local systems defined over the rational numbers in terms of families of affine varieties in algebraic tori. The famili…
math.AG2024★ 1 cited
Hypergeometric local systems over with Hodge vector
Giulia Gugiatti, Fernando Rodriguez Villegas
We consider all irreducible rank-4 hypergeometric local systems defined over that support a rational one-dimensional variation of Hodge structures of weight 3 and Hodg…
math.AG2022
A Prym Hypergeometric
Alessio Corti, Giulia Gugiatti, Fernando Rodriguez Villegas
We study a hypergeometric local system that arises from the quantum Chen-Ruan cohomology of a family of weighted del Pezzo hypersurfaces. We prove that it is the anti-invariant var…