74 citations · 304 across the 21 of their papers we have counts for
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cs.SC2022★ 3 cited
Axioms for a theory of signature bases
Pierre Lairez
Twenty years after the discovery of the F5 algorithm, Gröbner bases with signatures are still challenging to understand and to adapt to different settings. This contrasts with Buch…
hep-th2022★ 38 cited
Algorithms for minimal Picard-Fuchs operators of Feynman integrals
Pierre Lairez, Pierre Vanhove
In even space-time dimensions the multi-loop Feynman integrals are integrals of rational function in projective space. By using an algorithm that extends the Griffiths--Dwork reduc…
cs.SC2022
A Signature-based Algorithm for Computing the Nondegenerate Locus of a Polynomial System
Christian Eder, Pierre Lairez, Rafael Mohr +1
Polynomial system solving arises in many application areas to model non-linear geometric properties. In such settings, polynomial systems may come with degeneration which the end-u…