8 Notes on Calabi - Yau Ordinary Differential Equations ∗
نویسنده
چکیده
We investigate the structures of Calabi-Yau differential equations and the relations to the arithmetic of the pencils of Calabi-Yau varieties behind the equations. This provides explanations of some observations and computations in the recent paper [12].
منابع مشابه
Mirror Symmetry of Calabi-Yau Manifolds and Flat Coordinates
We study mirror symmetry of Calabi-Yau manifolds within the framework of the Gauss-Manin system. Applying the flat coordinates to the Gauss-Manin system for the periods, we derive differential equations for the mirror map in addition to the ordinary Picard-Fuchs equations for the periods. These equations are obtained for a class of one-parameter models and a two-parameter model of Fermat type C...
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By making the connection between four-dimensional lattice Green functions (LGFs) and Picard–Fuchs ordinary differential equations of Calabi–Yau manifolds, we have given explicit forms for the coefficients of the fourdimensional LGFs on the simple-cubic and body-centred cubic lattices, in terms of finite sums of products of binomial coefficients, and have shown that the corresponding four-dimens...
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We provide certain unusual generalizations of Clausen’s and Orr’s theorems for solutions of fourth-order and fifth-order generalized hypergeometric equations. As an application, we present several examples of algebraic transformations of Calabi–Yau differential equations.
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We consider Laplace transforms of the Picard-Fuchs differential equations of Calabi-Yau hypersurfaces and calculate their Stokes matrices. We also introduce two different types of Laplace transforms of Gel’fand-KapranovZelevinski hypergeometric systems.
متن کاملNotes on Correlation Functions in ( 0 , 2 ) Theories
In this short note we shall review some recent work [KS] on certain correlation function calculations in perturbative heterotic strings, generalizing the rational curve counting of the A model to analogues of the 27 3 coupling. Part of the motivation for this work comes from attempts to understand (0,2) mirror symmetry. Recall that ordinary mirror symmetry relates pairs of Calabi-Yau manifolds....
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تاریخ انتشار 2008