Birationally isotrivial fiber spaces
Algebraic Geometry
2017-09-18 v2
Abstract
We prove that a family of varieties is birationally isotrivial if all the fibers are birational to each other.
Keywords
Cite
@article{arxiv.1405.1389,
title = {Birationally isotrivial fiber spaces},
author = {Fedor Bogomolov and Christian Böhning and Hans-Christian Graf von Bothmer},
journal= {arXiv preprint arXiv:1405.1389},
year = {2017}
}
Comments
10 pages; v2: thanks to helpful suggestions of the referee, the main result is now independent of the Eisenbud-Goto conjecture; also we removed the erroneous Prop. 3.4 of v1 which was not needed for anything else in the paper