pith. sign in

arxiv: math/0305288 · v7 · submitted 2003-05-20 · 🧮 math.AG · math.DS· math.KT

Differential equations associated to Families of Algebraic Cycles

Pedro Luis del Angel , Stefan M\"uller-Stach This is my paper
classification 🧮 math.AG math.DSmath.KT
keywords differentialequationsfamiliesalgebraicassociatedcyclesgroupschazy
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.