Add to ORKGAbstract. 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. Key words: algebraic cycles; mirror symmetry; quintic threefold 2010 Mathematics Subject Classification: 14C25; 14J33
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AbstractComplex conjugation on complex space permutes the level sets of a real polynomial function a...
In this work we give a formula for the local Denef–Loeser zeta function of a superisolated singulari...
Legendre module λ, Feigenbaum constant δF and αF and modular units g(u) depend on principal ideals o...
The thesis deals with calculating the Picard-Fuchs equation of special one-parameter families of inv...
Recently, J.C. Rohde constructed families of Calabi\u2013Yau threefolds parametrized by Shimura vari...
We compute the transcendental part of the normal function corresponding to the Deligne class of a cy...
The monodromy’s study of Fuchsian hypergeometric differential equation provides a natural framework ...
0. A popular example. A homogeneous degree 5 polynomial equation in 5 variables determines a quintic...
In a recent paper, Doran, Greene and Judes considered one parameter families of quintic threefolds w...
The monodromy map for a rank-two system of differential equations with three Fuchsian singularities ...
This thesis studies some examples of families of K3 surfaces with Picard lattices of maximal rank. T...
$\bullet $ The monodromy’s study of Fuchsian hypergeometric differential equation provides a natural...
In this work we investigate a generalization of a recursion which was used by Apery in his proof of ...
Let f C n C be any polynomial function By using global polar methods we introduce models for the b...
Abstract. We prove that under certain spectral assumptions on the monodromy group, solutions of Fuch...
AbstractComplex conjugation on complex space permutes the level sets of a real polynomial function a...
In this work we give a formula for the local Denef–Loeser zeta function of a superisolated singulari...
Legendre module λ, Feigenbaum constant δF and αF and modular units g(u) depend on principal ideals o...