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Arithmetic Hodge Structure and Nonvanishing of the Cycle Class of 0-Cycles
Authors:Masanori Asakura
Affiliation:(1) Graduate School of Mathematics, Kyushu University, Hakozaki Higashi-ku Fukuoka, 812-8581, Japan
Abstract:We construct 0-cycles on a self-product of a curve whose cycle classes are linearly independent in the extension group of arithmetic Hodge structure. This is an extended version of Theorem 4.5 of Asakura's contribution to CMR Lecture Notes Ser. 24 ((2000), pp. 133–154).
Keywords:Hodge theory  algebraic cycles  Abel–  Jacobi maps
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