Abstract
Motivated by the Bloch–Beilinson conjectures, Voisin has formulated a conjecture about -cycles on self-products of surfaces of geometric genus one. We verify Voisin’s conjecture for the family of Todorov surfaces with and fundamental group . As a by-product, we prove that certain Todorov surfaces have finite-dimensional motive.
Citation
Robert Laterveer. "Algebraic cycles and Todorov surfaces." Kyoto J. Math. 58 (3) 493 - 527, September 2018. https://doi.org/10.1215/21562261-2017-0027
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