Algebraic cycles satisfying the Maurer-Cartan equation and the unipotent fundamental group of curves

作者：Hadian Majid^*

来源：Journal of K-Theory, 2013, 11(2): 351-392.

DOI：10.1017/is013002015jkt216

• Unipotent Fundamental Groups
• Algebraic Cycles
• Maurer-Cartan Equation and Massey Products

We address the question of lifting the etale 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 G(m), we construct such a sequence of algebraic cycles whose image under the cycle map gives rise to the etale unipotent fundamental group of the curve.

• 出版日期2013-4