A final result in the appendix, due to A. Collino, pertains to a very general quartic K3 surface S. There it is shown that there exists a one-dimensional family of elements \alpha_t 2 \in CH^3(S, 2) supported on a smooth hyperplane section of S, such that t is indecomposable (modulo the image of Pic(S) \otimes K_2(C)) for very general t.

On K1 and K2 of Algebraic Surfaces, Appendix by A. Collino.

COLLINO, Alberto
2003-01-01

Abstract

A final result in the appendix, due to A. Collino, pertains to a very general quartic K3 surface S. There it is shown that there exists a one-dimensional family of elements \alpha_t 2 \in CH^3(S, 2) supported on a smooth hyperplane section of S, such that t is indecomposable (modulo the image of Pic(S) \otimes K_2(C)) for very general t.
2003
30
37
69
K3 surfaces; Bloch higher Chow groups; K theory .
Stefan M¨uller-Stach ; Shuji Saito ; Alberto Collino
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/3461
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