English

Conjectures on the Kodaira dimension

Algebraic Geometry 2022-10-14 v3

Abstract

I propose a few increasingly stronger "superadditivity" conjectures regarding the behavior of Kodaira dimension under morphisms of smooth quasi-projective complex varieties.

Keywords

Cite

@article{arxiv.2111.10900,
  title  = {Conjectures on the Kodaira dimension},
  author = {Mihnea Popa},
  journal= {arXiv preprint arXiv:2111.10900},
  year   = {2022}
}

Comments

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

R2 v1 2026-06-24T07:46:34.786Z