Bloch's conjecture on surfaces with p_g=q=0, K²=9

2025/08/19 by Banerjee, Kalyan
#14C25 #Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2508.13594

Abstract

In this paper, we prove that Bloch's conjecture holds for all smooth, complex, projective surfaces with p_g=q=0 and K²=9.

Citations

• The Bicanonical map of fake projective planes with an automorphism
• Algebraic cycles on quadric sections of cubics in P⁴ under the action of symplectomorphisms

Related

• Some surfaces of general type for which Bloch's conjecture holds
• Bloch's conjecture on surfaces of general type with p_g=q=0, K²=3 and with an involution
• Bloch's conjecture for surfaces with involutions and of geometric genus zero
• Bloch's conjecture for Inoue surfaces with p_g=0, K² =7
• Bloch's conjecture for some numerical Campedelli surfaces