Conjectures on the Kodaira dimension
arXiv:2111.10900
Abstract
I propose a few increasingly stronger "superadditivity" conjectures regarding the behavior of Kodaira dimension under morphisms of smooth quasi-projective complex varieties.
8 pages; v2: the statements of two new results involving varieties of general type and abelian varieties included, plus various small changes; v3: improved exposition, including various updates