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Article Dans Une Revue Tunisian Journal of Mathematics Année : 2021

Albanese kernels and Griffiths groups (with an appendix by Yves André)

Résumé

We describe the Griffiths group of the product of a curve C and a surface S as a quotient of the Albanese kernel of S over the function field of C. When C is a hyperplane section of S varying in a Lefschetz pencil, we prove the nonvanishing in Griff(C×S) of a modification of the graph of the embedding C↪S for infinitely many members of the pencil, provided the ground field k is of characteristic 0, the geometric genus of S is >0, and k is large or S is "of motivated abelian type". There is an appendix by Yves André.
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Dates et versions

hal-03226197 , version 1 (06-10-2021)

Identifiants

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Bruno Kahn. Albanese kernels and Griffiths groups (with an appendix by Yves André). Tunisian Journal of Mathematics, 2021, 3 (3), pp.589-656. ⟨10.2140/tunis.2021.3.589⟩. ⟨hal-03226197⟩
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