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. [ProQuest: [...] denotes formulae omitted.]

Details

Title
Monodromy of an Inhomogeneous Picard-Fuchs Equation
Author
Laporte, Guillaume; Walcher, Johannes
Publication year
2012
Publication date
2012
Publisher
National Academy of Sciences of Ukraine
e-ISSN
18150659
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
1676410306
Copyright
Copyright National Academy of Sciences of Ukraine 2012