# Differential equations associated to families of algebraic cycles

Pedro L. del Angel, Stefan Müller-Stach

Number | 18 |
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Author | Stefan Müller-Stach |

Year | 2007 |

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 inhomogenous Picard–Fuchs type differential equations. For a families of K3 surfaces the corresponding non–linear ODE turns out to be similar to Chazy’s equation.