10 citations · 27 across the 7 of their papers we have counts for
13 papers
Computing transcendence and linear relations of 1-periods
Emre Can Sertöz, Joël Ouaknine, James Worrell
A 1-period is a complex number given by the integral of a univariate algebraic function, where all data involved -- the integrand and the domain of integration -- are defined over…
Computing heights via limits of Hodge structures
Spencer Bloch, Robin de Jong, Emre Can Sertöz
We consider the problem of explicitly computing Beilinson--Bloch heights of homologically trivial cycles on varieties defined over number fields. Recent results have established a…
Heights on curves and limits of Hodge structures
Spencer Bloch, Robin de Jong, Emre Can Sertöz
We exhibit a precise connection between Néron--Tate heights on smooth curves and biextension heights of limit mixed Hodge structures associated to smoothing deformations of singula…
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…
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…
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…