A note on polylogarithms on curves and abelian schemes
Algebraic Geometry
2010-02-04 v1 Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.0711.2443,
title = {A note on polylogarithms on curves and abelian schemes},
author = {Guido Kings},
journal= {arXiv preprint arXiv:0711.2443},
year = {2010}
}