Computing periods of rational integrals (Q2796016)
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scientific article; zbMATH DE number 6559805
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computing periods of rational integrals |
scientific article; zbMATH DE number 6559805 |
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Computing periods of rational integrals (English)
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23 March 2016
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Picard-Fuchs equation
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periods
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Dwork-Griffits reduction
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integration
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de Rham cohomology
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rational functions in complex variables
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elementary algorithm
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The author considers rational functions in \(n\) complex variables and depending on a parameter. The integrals of such functions over \(n\)-cycles are called \textit{periods}. Periods satisfy ordinary linear differential equations called \textit{Picard-Fuchs equations}. The author gives an elementary algorithm extending the Griffiths-Dwork reduction which can be applied to the computation of Picard-Fuchs equations within the framework of solving problems which previously have been out of reach.
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