Bloch’s conjecture for Inoue surfaces with 𝑝_{𝑔}=0, 𝐾²=7

Bauer, I.

doi:10.1090/S0002-9939-2014-12246-5

Bloch’s conjecture for Inoue surfaces with $p_g=0$, $K^2 = 7$
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Proc. Amer. Math. Soc. 142 (2014), 3335-3342 Request permission

Abstract:

The aim of this paper is to prove Bloch’s conjecture for Inoue surfaces with $p_g=0$ and $K^2=7$. These surfaces can also be described as bidouble covers of the four nodal cubic, which allows one to use the method of “enough automorphisms” due to Inose and Mizukami.

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