Some surfaces of general type for which Bloch's conjecture holds

2013/04/28 by Pedrini, Claudio, Weibel, Charles
#14C35 #14J29 #19E15 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1304.7523

Abstract

We give many examples of surfaces of general type with p_g=0 for which Bloch's conjecture holds, for all values of K² except 9. Our surfaces are equipped with an involution.

Related

• Bloch's conjecture on surfaces of general type with p_g=q=0, K²=3 and with an involution
• Bloch's conjecture on surfaces with p_g=q=0, K²=9
• Bloch's conjecture on surfaces of general type with an involution
• Bloch's conjecture on certain surfaces of general type with p_g=0 and with an involution: the Enriques case
• Bloch's conjecture for surfaces with involutions and of geometric genus zero