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arXiv · 1609.09629

Algebraic cycles and Todorov surfaces

Robert Laterveer
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Abstract

Motivated by the Bloch-Beilinson conjectures, Voisin has formulated a conjecture about 0-cycles on self-products of surfaces of geometric genus one. We verify Voisin's conjecture for the family of Todorov surfaces with $K^2=2$ and fundamental group $\mathbb{Z}/2\mathbb{Z}$. As a by-product, we prove that certain Todorov surfaces have finite-dimensional motive.

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Robert Laterveer. 2016-09-30. Algebraic cycles and Todorov surfaces. https://doi.org/10.1215/21562261-2017-0027

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