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arXiv · 1901.04810

Zero-cycles on Cancian-Frapporti surfaces

Robert Laterveer
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Abstract

An old conjecture of Voisin describes how $0$-cycles on a surface $S$ should behave when pulled-back to the self-product $S^m$ for $m>p_g(S)$. We show that Voisin's conjecture is true for a $3$-dimensional family of surfaces of general type with $p_g=q=2$ and $K^2=7$ constructed by Cancian and Frapporti, and revisited by Pignatelli-Polizzi.

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Robert Laterveer. 2019-01-15. Zero-cycles on Cancian-Frapporti surfaces. https://arxiv.org/abs/1901.04810

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