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arxiv: 1408.0760 · v1 · pith:QZ56C4R4new · submitted 2014-08-04 · 🧮 math.AG

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

classification 🧮 math.AG
keywords surfacesblochburniatconjecturegeneralizedtypezeroarticle
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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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