English

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

Algebraic Geometry 2014-08-05 v1

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.

Keywords

Cite

@article{arxiv.1408.0760,
  title  = {Bloch's conjecture for Generalized Burniat Type surfaces with $p_g=0$},
  author = {Ingrid Bauer and Davide Frapporti},
  journal= {arXiv preprint arXiv:1408.0760},
  year   = {2014}
}

Comments

19 pages

R2 v1 2026-06-22T05:20:06.704Z