On supported deformations and birational isotriviality

Luca Rizzi, Francesco Zucconi

Published: 2025/6/8

Abstract

It is well known that the general fibers of a fibration $f\colon X\to B$ are isomorphic if the general Kodaira-Spencer class vanishes. In this paper we consider the birational analogue when the general Kodaira-Spencer class is supported on a divisor.