The classification of minimal irregular surfaces of general type with K^2= 2p_g

TL;DR

This paper classifies minimal irregular surfaces of general type where the self-intersection number of the canonical divisor equals twice the geometric genus, completing the understanding of such surfaces in algebraic geometry.

Contribution

It provides a complete classification of minimal irregular surfaces of general type with K^2=2p_g, a case previously not fully understood.

Findings

Classification of surfaces with K^2=2p_g

Identification of geometric properties unique to these surfaces

Extension of the minimal irregular surfaces theory

Abstract

Minimal irregular surfaces of general type satisfy K^2\geq 2p_g. In this paper we classify those surfaces for which the equality K^2=2p_g holds.