The Motivic Logarithm for Curves
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.
KeywordsSpectral Sequence Direct Summand Isomorphism Class Rational Curf Triangulate Category
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