Algebraic cycles on Todorov surfaces of type (2,12)

2019/05/24 by Natascia Zangani, Zangani, Natascia
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #math.AG #msc:14C15 #msc:14C25 #msc:14C30 #msc:14J28 #msc:14J29 #msc:19E15

paper · pdf · doi:10.48550/arxiv.1905.10123

arxiv created 2022/01/28 · arxiv updated 2022/02/01

Abstract

We focus on Voisin's conjecture on 0-cycles on the self-product of surfaces of geometric genus one, which arises in the context of the Bloch-Beilinson filtration conjecture. We verify this conjecture for the family of Todorov surfaces of type (2,12), giving an explicit description of this family as quotient surfaces of the complete intersection of four quadrics in ℙ⁶. We give some motivic applications.

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