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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.<\/p>","DOI":"10.1090\/mcom\/3054","type":"journal-article","created":{"date-parts":[[2015,4,1]],"date-time":"2015-04-01T13:33:48Z","timestamp":1427895228000},"page":"1719-1752","source":"Crossref","is-referenced-by-count":49,"title":["Computing periods of rational integrals"],"prefix":"10.1090","volume":"85","author":[{"given":"Pierre","family":"Lairez","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"14","published-online":{"date-parts":[[2015,11,6]]},"reference":[{"key":"1","isbn-type":"print","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1090\/conm\/517\/10129","article-title":"The art of finding Calabi-Yau differential equations. 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