Algebraic cycles and special Horikawa surfaces
Algebraic Geometry
2020-09-25 v1
Abstract
This note is about a -dimensional family of surfaces of general type with and and , called "special Horikawa surfaces". These surfaces, studied by Pearlstein-Zhang and by Garbagnati, are related to K3 surfaces. We show that special Horikawa surfaces have a multiplicative Chow-K\"unneth decomposition, in the sense of Shen-Vial. As a consequence, the Chow ring of special Horikawa surfaces displays K3-like behaviour.
Cite
@article{arxiv.2009.11634,
title = {Algebraic cycles and special Horikawa surfaces},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:2009.11634},
year = {2020}
}
Comments
15 pages, to appear in Acta Math. Vietnamica, comments welcome