Bloch's conjecture for Inoue surfaces with p_g=0, K² =7

2012/10/16 by Ingrid Bauer, Bauer, Ingrid
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1210.4287

10 pages, misprints removed, references added

arxiv created 2012/11/29 · arxiv updated 2012/11/30

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 zero is trivial) for Inoue surfaces with p_g=0 and K² = 7. These surfaces can also be described as bidouble covers of the four nodal cubic, which allows to use the method of "enough automorphisms" introduced by Inose-Mizukami (in a simplified version).

Related

• Bloch's conjecture for Generalized Burniat Type surfaces with p_g=0
• Bloch's conjecture on surfaces of general type with p_g=q=0, K²=3 and with an involution
• Bloch's conjecture on certain surfaces of general type with p_g=0 and with an involution: the Enriques case
• Some surfaces of general type for which Bloch's conjecture holds
• Bloch's conjecture on surfaces of general type with an involution