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Algebraic cycles satisfying the Maurer-Cartan equation and the unipotent fundamental group of curves
Published online by Cambridge University Press: 04 April 2013
Abstract
We address the question of lifting the étale unipotent fundamental group of curves to the level of algebraic cycles and show that a sequence of algebraic cycles whose sum satisfies the Maurer-Cartan equation would do the job. For any elliptic curve with the origin removed and the curve , we construct such a sequence of algebraic cycles whose image under the cycle map gives rise to the étale unipotent fundamental group of the curve.
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- Copyright © ISOPP 2013