A note on polylogarithms on curves and abelian schemes

Details A note on polylogarithms on curves and abelian schemes A note on polylogarithms on curves and abelian schemes

2007-11-15

arxiv.org/abs/0711.2443v1

Math. Z., 262 (2009) 527-537

Mathematics

Algebraic Geometry

Scientific paper

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.

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