Published online by Cambridge University Press: 22 January 2016
This is a continuation of [5]. In the present part, we study irregular even surfaces of general type with K < 4χ, where K and χ denote respectively a canonical divisor and the holomorphic Euler-Poincaré characteristic. As the first main theorem, we show the following:
THEOREM 1. For any irregular even surface of general type with K < 4χ, the image of the Albanese map is a curve.