3 papers
math.AG2025
Galois Groups of Symmetric Cubic Surfaces
Eric Pichon-Pharabod, Simon Telen
The Galois group of a family of cubic surfaces is the monodromy group of the 27 lines of its generic fibre. We describe a method to compute this group for linear systems of cubic s…
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…
math.AG2025
A semi-numerical algorithm for the homology lattice and periods of complex elliptic surfaces over the projective line
Eric Pichon-Pharabod
We provide an algorithm for computing an effective basis of homology of elliptic surfaces over the complex projective line on which integration of periods can be carried out. This…