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arXiv · 2009.11062

Zero-cycles on self-products of varieties: some elementary examples verifying Voisin's conjecture

Robert Laterveer
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Abstract

An old conjecture of Voisin describes how zero-cycles on a variety $X$ should behave when pulled-back to the self-product $X^m$ for $m$ larger than the geometric genus of $X$. Using complete intersections of quadrics, we give examples of varieties in any dimension and with arbitrarily high geometric genus that verify Voisin's conjecture.

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Robert Laterveer. 2020-09-23. Zero-cycles on self-products of varieties: some elementary examples verifying Voisin's conjecture. https://doi.org/10.1007/s40574-020-00259-0

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