Birationally isotrivial fiber spaces
Fedor Bogomolov, Christian B\"ohning, Hans-Christian Graf von Bothmer
TL;DR
This paper proves that a family of algebraic varieties is birationally isotrivial if all fibers are birationally equivalent, establishing a key condition for the uniformity of such families.
Contribution
The paper provides a proof that a family of varieties is birationally isotrivial whenever all fibers are birational to each other, clarifying the structure of these families.
Findings
Family of varieties is birationally isotrivial if all fibers are birational.
Establishes a criterion for uniformity in algebraic fiber spaces.
Contributes to the understanding of birational equivalence in algebraic geometry.
Abstract
We prove that a family of varieties is birationally isotrivial if all the fibers are birational to each other.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.