Differential equations associated to Families of Algebraic Cycles

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146864We 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 FourierAlgebraic GeometryDynamical SystemsK-Theory and Homology14C25 (Primary); 19E20 (Secondary)Differential equations associated to Families of Algebraic Cyclestext