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Higher analytic torsion, polylogarithms and norm compatible elements on abelian schemes

We give a simple axiomatic description of the degree 0 part of the polylogarithm on abelian schemes and show that its realisation in analytic Deligne cohomology can be described in terms of the Bismut-Köhler higher analytic torsion form of the Poincaré bundle.

preprint2014arXivOpen access
Guido KingsDamian Rössler
math.AG
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Open access2 authors1 topic
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Guido KingsDamian Rössler

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