Differential equations associated to families of algebraic cycles
Pedro L. del Angel, Stefan Müller-Stach
| Number | 18 | 
|---|---|
| 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.

 
            