Zero-cycles on Cancian-Frapporti surfaces

2019/01/15 by Robert Laterveer, Laterveer, Robert
Mathematics · #14C15 #14C25 #14C30 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C15 #msc:14C25 #msc:14C30

paper · pdf · doi:10.48550/arxiv.1901.04810

10 pages, to appear in Annali dell'Univ. di Ferrara, comments welcome

arxiv created 2019/01/15 · arxiv updated 2019/01/16

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 K²=7 constructed by Cancian and Frapporti, and revisited by Pignatelli-Polizzi.

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