Decomposition of small diagonals and Chow rings of hypersurfaces and Calabi-Yau complete intersections
Résumé
On the one hand, for a general Calabi–Yau complete intersection X , we establish a decomposition, up to rational equivalence, of the small diagonal in X × X × X , from which we deduce that any decomposable 0-cycle of degree 0 is in fact rationally equivalent to 0, up to torsion. On the other hand, we find a similar decomposition of the smallest diagonal in a higher power of a hypersurface, which provides us an analogous result on the multiplicative structure of its Chow ring.
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