74 citations · 304 across the 21 of their papers we have counts for
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math.AG2018★ 10 cited
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…
cs.SC2018★ 29 cited
Generalized Hermite Reduction, Creative Telescoping and Definite Integration of D-Finite Functions
Alin Bostan, Frédéric Chyzak, Pierre Lairez +1
Hermite reduction is a classical algorithmic tool in symbolic integration. It is used to decompose a given rational function as a sum of a function with simple poles and the deriva…