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Syntomic Cohomology And Beilinson'S Tate Conjecture For K-2

Masanori Asakura,Kanetomo Sato

Journal of Algebraic Geometry（2013）

Cited 3|Views11
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Abstract
We study Beilinson's Tate conjecture for K-2 using the theory of syntomic cohomology. As an application, we construct integral indecomposable elements of K-1 of elliptic surfaces. Moreover, we give the first example of a surface X with p(g) not equal 0 over a p-adic field such that the torsion of CH0(X) is finite.
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Key words
number theory,k3 surface,algebraic geometry,upper bound
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