Bloch's conjecture on certain surfaces of general type with p_g=0 and with an involution: the Enriques case

2017/05/09 by Kalyan Banerjee, Banerjee, Kalyan
Mathematics · #14C25 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1705.03314

openalex publication_date 2017/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short note we prove that an involution on certain examples of surfaces of general type with p_g=0, acts as identity on the Chow group of zero cycles of the relevant surface. In particular we consider examples of such surfaces when the quotient is an Enriques surface and show that the Bloch's conjecture holds for such surfaces.

Related

• Bloch's conjecture on surfaces of general type with p_g=q=0, K²=3 and with an involution
• Some surfaces of general type for which Bloch's conjecture holds
• Involutions on algebraic surfaces and the Generalised Bloch's conjecture
• Bloch's conjecture for Enriques varieties
• Bloch's conjecture on surfaces of general type with an involution