Differential equations associated to Families of Algebraic Cycles
Algebraic Geometry
2008-01-30 v7 Dynamical Systems
K-Theory and Homology
Abstract
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.
Keywords
Cite
@article{arxiv.math/0305288,
title = {Differential equations associated to Families of Algebraic Cycles},
author = {Pedro Luis del Angel and Stefan Müller-Stach},
journal= {arXiv preprint arXiv:math/0305288},
year = {2008}
}
Comments
8 pages. Final version. To be published in Annales de l'Institute Fourier