PICARD-FUCHS EQUATIONS AND SPECIAL GEOMETRY
نویسندگان
چکیده
منابع مشابه
Hodge Numbers from Picard–Fuchs Equations
Given a variation of Hodge structure over P with Hodge numbers (1, 1, . . . , 1), we show how to compute the degrees of the Deligne extension of its Hodge bundles, following Eskin–Kontsevich–Möller–Zorich, by using the local exponents of the corresponding Picard– Fuchs equation. This allows us to compute the Hodge numbers of Zucker’s Hodge structure on the corresponding parabolic cohomology gro...
متن کاملPicard-fuchs Equations and Mirror Maps for Hypersurfaces
We describe a strategy for computing Yukawa couplings and the mirror map, based on the Picard-Fuchs equation. (Our strategy is a variant of the method used by Candelas, de la Ossa, Green, and Parkes [5] in the case of quintic hypersurfaces.) We then explain a technique of Griffiths [14] which can be used to compute the Picard-Fuchs equations of hypersurfaces. Finally, we carry out the computati...
متن کاملIntegrability, Seiberg–Witten Models and Picard–Fuchs Equations
Expanded version of the author’s contribution to the Concise Encyclopædia of Supersymmetry, eds. Jonathan Bagger, Steven Duplij and Warren Siegel.
متن کاملActions of the Neumann systems via Picard-Fuchs equations
The Neumann system describing the motion of a particle on an n-dimensional sphere with an anisotropic harmonic potential, has been celebrated as one of the best understood integrable systems of classical mechanics. The present paper adds a detailed discussion and the determination of its action integrals, using differential equations rather than standard integral formulas. We show that the acti...
متن کاملRedundant Picard–fuchs System for Abelian Integrals
We derive an explicit system of Picard–Fuchs differential equations satisfied by Abelian integrals of monomial forms and majorize its coefficients. A peculiar feature of this construction is that the system admitting such explicit majorants, appears only in dimension approximately two times greater than the standard Picard–Fuchs system. The result is used to obtain a partial solution to the tan...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1993
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x93000047