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This article is cited in 7 scientific papers (total in 7 papers)
Monodromy of an inhomogeneous Picard–Fuchs equation
Guillaume Laportea, Johannes Walcherab a Department of Physics, McGill University, Montréal, Québec, Canada
b Department of Mathematics and Statistics, McGill University, Montréal, Québec, Canada
Abstract:
The global behaviour of the normal function associated with van Geemen's family of lines on the mirror quintic is studied. Based on the associated inhomogeneous Picard–Fuchs equation, the series expansions around large complex structure, conifold, and around the open string discriminant are obtained. The monodromies are explicitly calculated from this data and checked to be integral. The limiting value of the normal function at large complex structure is an irrational number expressible in terms of the di-logarithm.
Keywords:
algebraic cycles, mirror symmetry, quintic threefold.
Received: June 8, 2012; in final form August 20, 2012; Published online August 22, 2012
Citation:
Guillaume Laporte, Johannes Walcher, “Monodromy of an inhomogeneous Picard–Fuchs equation”, SIGMA, 8 (2012), 056, 10 pp.
Linking options:
https://www.mathnet.ru/eng/sigma733 https://www.mathnet.ru/eng/sigma/v8/p56
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Abstract page: | 425 | Full-text PDF : | 35 | References: | 33 |
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