arXiv
Open Access
2014
Computing periods of rational integrals
Pierre Lairez
Abstrak
A period of a rational integral is the result of integrating, with respect to one or 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 problems that were previously out of reach.
Penulis (1)
P
Pierre Lairez
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2014
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- en
- Sumber Database
- arXiv
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- Open Access ✓