6 On dlog image of K 2 of elliptic surface minus singular fibers Masanori Asakura
نویسنده
چکیده
Let π : X → C be an elliptic surface over an algebraically closed field of characteristic zero andDi = π (Pi) the singular fibers. Put U = X−∪iDi. Our objective in this paper is the image of the dlog map Γ (U,K2) → Γ (X,ΩX(log ∑ Di)). In particular, we give an upper bound of the rank of the dlog image, which is computable in many cases. This also allows us to construct indecomposable parts of Bloch’s higher Chow groups CH(X, 1) in special examples.
منابع مشابه
On dlog image of K2 of elliptic surface minus singular fibers
Let π : X → C be an elliptic surface over an algebraically closed field of characteristic zero and Di = π (Pi) the singular fibers. Put U = X − ∪iDi. Our objective in this paper is the image of the dlog map K2(U) → Γ (X,ΩX(log ∑ Di)). In particular, we give an upper bound of the rank of the dlog image, which is computable in many cases. This also allows us to construct indecomposable parts of B...
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