We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
BIRATIONAL SELF-MAPS OF THREEFOLDS OF (UN)-BOUNDED GENUS OR GONALITY.
- Authors
BLANC, JÉRÉMY; CHELTSOV, IVAN; DUNCAN, ALEXANDER; PROKHOROV, YURI
- Abstract
We study the complexity of birational self-maps of a projective threefold X by looking at the birational type of surfaces contracted. These surfaces are birational to the product of the projective line with a smooth projective curve. We prove that the genus of the curves occuring is unbounded if and only if X is birational to a conic bundle or a fibration into cubic surfaces. Similarly, we prove that the gonality of the curves is unbounded if and only if X is birational to a conic bundle.
- Subjects
UNITED Nations; PRODUCT lines
- Publication
American Journal of Mathematics, 2022, Vol 144, Issue 2, p575
- ISSN
0002-9327
- Publication type
Article
- DOI
10.1353/ajm.2022.0011