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Differential equations associated to Families of Algebraic Cycles

Pedro Luis del Angel·Stefan Müller-Stach
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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.

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BibTeXRIS

Pedro Luis del Angel, Stefan Müller-Stach. 2008-01-30. Differential equations associated to Families of Algebraic Cycles. https://arxiv.org/abs/math/0305288

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