Birationally isotrivial fiber spaces
arXiv:1405.1389 · doi:10.1007/s40879-015-0037-5
Abstract
We prove that a family of varieties is birationally isotrivial if all the fibers are birational to each other.
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