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arXiv · 1408.0760

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

Ingrid Bauer·Davide Frapporti
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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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Ingrid Bauer, Davide Frapporti. 2014-08-04. Bloch's conjecture for Generalized Burniat Type surfaces with $p_g=0$. https://arxiv.org/abs/1408.0760

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