Algebraic cycles on surfaces with p_g=1 and q=2

2016/11/27 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.1611.08821

10 pages, to appear in Comment. Math. Univ. St. Pauli, comments welcome !

arxiv created 2016/11/27 · arxiv updated 2016/11/29

Abstract

This note is about an old conjecture of Voisin, which concerns zero--cycles on the self-product of surfaces of geometric genus one. We prove this conjecture for surfaces with p_g=1 and q=2.

Related

• Some results on a conjecture of Voisin for surfaces of geometric genus one
• Zero-cycles on Cancian-Frapporti surfaces
• Algebraic cycles on Todorov surfaces of type (2,12)
• \mathbbA¹-equivalence of zero cycles on surfaces
• Zero-cycles on quasi-projective surfaces over p-adic fields