2 citations · 5 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Effective homology and periods of complex projective hypersurfaces
Pierre Lairez, Eric Pichon-Pharabod, Pierre Vanhove
We introduce a new algorithm for computing the periods of a smooth complex projective hypersurface. The algorithm intertwine with a new method for computing an explicit basis of th…
Motivic geometry of two-loop Feynman integrals
Charles F. Doran, Andrew Harder, Eric Pichon-Pharabod +1
We study the geometry and Hodge theory of the cubic hypersurfaces attached to two-loop Feynman integrals for generic physical parameters. We show that the Hodge structure attached…