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math.AG2025
Certified Monodromy Groups for Families of Hypersurfaces
Eric Pichon-Pharabod, Simon Telen
The monodromy group of a family of algebraic varieties is the group of isometries of the homology of a generic fibre, induced by parallel transport along a loop in the base space.…
math.AG2025
Periods of fibre products of elliptic surfaces and the Gamma conjecture
Eric Pichon-Pharabod
We provide an algorithm for computing a basis of homology of fibre products of elliptic surfaces over , along with the corresponding intersection product and period ma…