Guido Kings
Published 2007-11-15Version 1
In this note we investigate the connection between polylogarithms on curves and abelian schemes. The main result shows that the polylogarithm on the abelian scheme can be obtained as the push-forward of the polylogarithm on a suitable sub-curve. If the abelian scheme is the Jacobian of a smooth projective curve, this push-forward can also be written as a cup-product with the fundamental class of the curve.
Journal: Math. Z., 262 (2009) 527-537
The Betti map associated to a section of an abelian scheme (with an appendix by Z. Gao)
Extensions of Abelian Schemes and the Additive Group
Purity results for $p$-divisible groups and abelian schemes over regular bases of mixed characteristic
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