On birational boundedness of some Calabi-Yau hypersurfaces

Abstract

We show the birational boundedness of anti-canonical irreducible hypersurfaces which form 3-fold plt pairs. We also treat a collection of Du Val K3 surfaces which is birationally bounded but unbounded.

17 pages, updated following the referees' comments

References in corpus (2)

• Differential Forms on Log Canonical Spaces
• Birational boundedness of rationally connected Calabi-Yau 3-folds