Bloch's conjecture on surfaces of general type with an involution

2017/05/30 by Kalyan Banerjee, Banerjee, Kalyan · 1 citation
Computer Science · Mathematics · #14C25 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1705.10713

openalex publication_date 2017/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short note we prove that the Bloch's conjecture holds for a surface of general type of numerical Godeaux type or some class of numerical Campedelli type, with geometric genus zero equipped with an involution, when the quotient of the surface by the involution is a rational surface.

Citations

• A simply connected numerical Godeaux surface with ample canonical class

Cited by

• Realizations of homology classes and projection areas

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