Monodromy of an Inhomogeneous Picard-Fuchs Equation

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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dc.contributor.author	Laporte, G.
dc.contributor.author	Walcher, J.
dc.date.accessioned	2019-02-18T11:50:17Z
dc.date.available	2019-02-18T11:50:17Z
dc.date.issued	2012
dc.identifier.citation	Monodromy of an Inhomogeneous Picard-Fuchs Equation / G. Laporte, J. Walcher // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 10 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 14C25; 14J33
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2012.056
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148409
dc.description.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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue “Mirror Symmetry and Related Topics”. The full collection is available at http://www.emis.de/journals/SIGMA/mirror symmetry.html. We would like to thank Matt Kerr for asking the question addressed in this work, and Josh Lapan for stimulating discussions. J.W. wishes to thank the Simons Center for Geometry and Physics, where this paper was written up. This work was supported in part by the Canada Research Chair program and an NSERC discovery grant.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Monodromy of an Inhomogeneous Picard-Fuchs Equation	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA