Geodesic
Periodic integrals and tautological systems
Journal of the European Mathematical Society, Tome 15 (2013) no. 4, pp. 1457-1483 Cet article a éte moissonné depuis la source EMS Press

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We study period integrals of CY hypersurfaces in a partial flag variety. We construct a regular holonomic system of differential equations which govern the period integrals. By means of representation theory, a set of generators of the system can be described explicitly. The results are also generalized to CY complete intersections. The construction of these new systems of differential equations has lead us to the notion of a tautological system.
DOI : 10.4171/jems/396
Classification : 14-XX, 00-XX
Keywords: Calabi-Yau, period integrals, Picard-Fuchs systems, partial flag varieties 
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     author = {Bong H. Lian and Ruifang Song and Shing-Tung Yau},
     title = {Periodic integrals and tautological systems},
     journal = {Journal of the European Mathematical Society},
     pages = {1457--1483},
     year = {2013},
     volume = {15},
     number = {4},
     doi = {10.4171/jems/396},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/396/}
}
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Bong H. Lian; Ruifang Song; Shing-Tung Yau. Periodic integrals and tautological systems. Journal of the European Mathematical Society, Tome 15 (2013) no. 4, pp. 1457-1483. doi: 10.4171/jems/396

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