17 citations · 63 across the 12 of their papers we have counts for
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math.AG2020★ 1 cited
Separation of periods of quartic surfaces
Pierre Lairez, Emre Can Sertöz
We give a computable lower bound on the distance between two distinct periods of a given quartic surface defined over the algebraic numbers. The main ingredient is the determinatio…
cs.LG2020★ 8 cited
Deep Learning Gauss-Manin Connections
Kathryn Heal, Avinash Kulkarni, Emre Can Sertöz
The Gauss-Manin connection of a family of hypersurfaces governs the change of the period matrix along the family. This connection can be complicated even when the equations definin…
math.AG2020★ 4 cited
Effective obstruction to lifting Tate classes from positive characteristic
Edgar Costa, Emre Can Sertöz
We give an algorithm that takes a smooth hypersurface over a number field and computes a -adic approximation of the obstruction map on the Tate classes of a finite reduction. Th…