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Pré-Publication, Document De Travail Année : 2014

Computing periods of rational integrals

Résumé

A period of a rational integral is the result of integrating, with respect to several variables, a rational function over a closed path. This work focuses particularly on periods depending on a parameter: in this case the period under consideration satisfies a linear differential equation, the Picard-Fuchs equation. I give a reduction algorithm that extends the Griffiths-Dwork reduction and apply it to the computation of Picard-Fuchs equations. The resulting algorithm is elementary and has been successfully applied to previously out-of-reach problems.
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Dates et versions

hal-00981114 , version 1 (20-04-2014)
hal-00981114 , version 2 (06-05-2014)
hal-00981114 , version 3 (31-08-2015)

Identifiants

  • HAL Id : hal-00981114 , version 1

Citer

Pierre Lairez. Computing periods of rational integrals. 2014. ⟨hal-00981114v1⟩
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