Bloch's conjecture for Inoue surfaces with pg=0, K2 =7
Abstract
The aim of this article is to prove Bloch's conjecture (asserting that the group of rational equivalence classes of zero cycles of degree zero is trivial) for Inoue surfaces with pg=0 and K2 = 7. These surfaces can also be described as bidouble covers of the four nodal cubic, which allows to use the method of "enough automorphisms" introduced by Inose-Mizukami (in a simplified version).
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