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Computing periods of rational integrals

Pierre Lairez 1, *
* Corresponding author
Abstract : 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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Contributor : Pierre Lairez <>
Submitted on : Sunday, April 20, 2014 - 10:29:32 PM
Last modification on : Friday, February 6, 2015 - 12:57:03 PM
Document(s) archivé(s) le : Monday, April 10, 2017 - 4:17:38 PM


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  • HAL Id : hal-00981114, version 1


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



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