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.
Domaines
Géométrie algébrique [math.AG]
Origine : Fichiers produits par l'(les) auteur(s)