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

2014/08/04 by Ingrid Bauer, Bauer, Ingrid, Davide Frapporti +1
Computer Science · Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1408.0760

19 pages

arxiv created 2014/08/04 · openalex publication_date 2014/08/04 · arxiv updated 2014/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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