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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The present work took place in the realm of the DFG Forschergruppe 790 “Classification of algebraic surfaces and compact complex manifolds”.
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Bauer, I., Frapporti, D. Bloch’s conjecture for generalized Burniat type surfaces with \(p_g=0\) . Rend. Circ. Mat. Palermo 64, 27–42 (2015). https://doi.org/10.1007/s12215-014-0176-4
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DOI: https://doi.org/10.1007/s12215-014-0176-4