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20232025
most citedA semi-numerical algorithm for the homology lattice and periods of complex elliptic surfaces over the projective line

2 citations · 5 across the 5 of their papers we have counts for

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math.AG2023★ 2 cited

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…

math.AG2023★ 1 cited

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…