The Motivic Logarithm for Curves

  • Gerd Faltings
Conference paper
Part of the Contributions in Mathematical and Computational Sciences book series (CMCS, volume 2)


The paper explains how in Kim’s approach to diophantine equations étale cohomology can be replaced by motivic cohomology. For this Beilinson’s construction of the motivic logarithm suffices, and it is not necessary to construct a category of mixed motives as it is done by Deligne–Goncharov for rational curves.


Spectral Sequence Direct Summand Isomorphism Class Rational Curf Triangulate Category 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.MPI für MathematikBonnGermany

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