2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66803Let X be a complex projective n-dimensional manifold of general type, whose canonical system is composite with a pencil. If the Albanese map is generically finite, but not surjective, or if the irregularity is strictly larger than n and the image of X in its Albanese variety of Kodaira dimension one, then the geometric genus of a general fibre of the canonical map is one and the latter factors through the Albanese map. The last part of this result holds true for any threefold with irregularity 5 or larger.11 pages, AMSLaTeXAlgebraic GeometryComplex Variables14J10 (Primary); 14J30, 14J40 (Secondary)text