17 citations · 63 across the 12 of their papers we have counts for
5 papers · 1 filter
A numerical transcendental method in algebraic geometry
Pierre Lairez, Emre Can Sertöz
Based on high precision computation of periods and lattice reduction techniques, we compute the Picard group of smooth surfaces. We also study the lattice reduction technique that…
Prym varieties of genus four curves
Nils Bruin, Emre Can Sertöz
Double covers of a generic genus four curve C are in bijection with Cayley cubics containing the canonical model of C. The Prym variety associated to a double cover is a quadratic…
Certifying reality of projections
Jonathan Hauenstein, Avinash Kulkarni, Emre Can Sertöz +1
Computational tools in numerical algebraic geometry can be used to numerically approximate solutions to a system of polynomial equations. If the system is well-constrained (i.e., s…
Computing Periods of Hypersurfaces
Emre Can Sertöz
We give an algorithm to compute the periods of smooth projective hypersurfaces of any dimension. This is an improvement over existing algorithms which could only compute the period…
Computing images of polynomial maps
Corey Harris, Mateusz Michałek, Emre Can Sertöz
The image of a polynomial map is a constructible set. While computing its closure is standard in computer algebra systems, a procedure for computing the constructible set itself is…