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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 056, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.056 (Mi sigma733) 		 
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
Full-text PDF (289 kB) Citations (7)
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DOI: https://doi.org/10.3842/SIGMA.2012.056
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
Bibliographic databases:
Document Type: Article
MSC: 14C25; 14J33
Language: English
Citation: Guillaume Laporte, Johannes Walcher, “Monodromy of an inhomogeneous Picard–Fuchs equation”, SIGMA, 8 (2012), 056, 10 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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