Differential equations associated to Families of Algebraic Cycles

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We develop a theory of differential equations associated to families of algebraic cycles in higher Chow groups (i.e., motivic cohomology groups). This formalism is related to inhomogeneous Picard--Fuchs type differential equations. For families of K3 surfaces the corresponding non-linear ODE turns out to be symilar to Chazy's equation.
8 pages. Final version. To be published in Annales de l'Institute Fourier

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Algebraic Geometry, Dynamical Systems, K-Theory and Homology, 14C25 (Primary); 19E20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/146864

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305288
 http://arxiv.org/abs/math/0305288

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arXiv