Bloch's conjecture for Generalized Burniat Type surfaces with pg=0p_g=0

preprint2014arXivOpen access

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 0 is trivial for surfaces with geometric genus zero, for regular generalized Burniat type surfaces. The technique is the method of "enough automorphisms" introduced by Inose-Mizukami in a simplified version due to the first author.

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