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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

Majid Hadian
Majid Hadian*
Affiliation:
University of Illinois at Chicago, Chicago, 60607 IL, [email protected]
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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.

Keywords

Unipotent Fundamental GroupsAlgebraic CyclesMaurer-Cartan Equation and Massey Products14C25-14F42
Type
Research Article
Information
Journal of K-Theory , Volume 11 , Issue 2 , April 2013 , pp. 351 - 392
Copyright
Copyright © ISOPP 2013 

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