Monodromy of an Inhomogeneous Picard-Fuchs Equation
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 obt...
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| Datum: | 2012 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2012
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/148409 |
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| Zitieren: | 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. |
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irk-123456789-1484092019-02-19T01:25:22Z Monodromy of an Inhomogeneous Picard-Fuchs Equation Laporte, G. Walcher, J. 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. 2012 Article 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. 1815-0659 2010 Mathematics Subject Classification: 14C25; 14J33 DOI: http://dx.doi.org/10.3842/SIGMA.2012.056 http://dspace.nbuv.gov.ua/handle/123456789/148409 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Laporte, G. Walcher, J. |
| spellingShingle |
Laporte, G. Walcher, J. Monodromy of an Inhomogeneous Picard-Fuchs Equation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Laporte, G. Walcher, J. |
| author_sort |
Laporte, G. |
| title |
Monodromy of an Inhomogeneous Picard-Fuchs Equation |
| title_short |
Monodromy of an Inhomogeneous Picard-Fuchs Equation |
| title_full |
Monodromy of an Inhomogeneous Picard-Fuchs Equation |
| title_fullStr |
Monodromy of an Inhomogeneous Picard-Fuchs Equation |
| title_full_unstemmed |
Monodromy of an Inhomogeneous Picard-Fuchs Equation |
| title_sort |
monodromy of an inhomogeneous picard-fuchs equation |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148409 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT laporteg monodromyofaninhomogeneouspicardfuchsequation AT walcherj monodromyofaninhomogeneouspicardfuchsequation |
| first_indexed |
2025-07-12T19:23:34Z |
| last_indexed |
2025-07-12T19:23:34Z |
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1837470281883451392 |