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math.AG2023★ 2 cited
Modularity of Landau-Ginzburg models
Charles Doran, Andrew Harder, Ludmil Katzarkov +2
For each Fano threefold, we construct a family of Landau-Ginzburg models which satisfy many expectations coming from different aspects of mirror symmetry; they are log Calabi-Yau v…
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…