Abstract
This note is about a certain 16-dimensional family of surfaces of general type with pg = 2 and q = 0 and K2 = 1, 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–Kunneth decomposition, in the sense of Shen–Vial. As a consequence, the Chow ring of special Horikawa surfaces displays K3-like behavior.
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