Geodesic
Periodic integrals and tautological systems
Journal of the European Mathematical Society, Tome 15 (2013) no. 4, pp. 1457-1483.

Voir la notice de l'article provenant de la source EMS Press

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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     title = {Periodic integrals and tautological systems},
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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. http://geodesic.mathdoc.fr/articles/10.4171/jems/396/

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