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arXiv · 1209.5616

Decomposition of small diagonals and Chow rings of hypersurfaces and Calabi-Yau complete intersections

Lie Fu
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Abstract

On one hand, for a general Calabi-Yau complete intersection X, we establish a decomposition, up to rational equivalence, of the small diagonal in X^3, 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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Lie Fu. 2012-09-25. Decomposition of small diagonals and Chow rings of hypersurfaces and Calabi-Yau complete intersections. https://arxiv.org/abs/1209.5616

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