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arXiv:math/0305288 [math.AG]AbstractReferencesReviewsResources

Differential equations associated to Families of Algebraic Cycles

Pedro Luis del Angel, Stefan Müller-Stach

Published 2003-05-20, updated 2008-01-30Version 7

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.

Comments: 8 pages. Final version. To be published in Annales de l'Institute Fourier
Categories: math.AG, math.DS, math.KT
Subjects: 14C25, 19E20
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