Birational geometry of smooth families of varieties admitting good minimal models

We study families of projective manifolds with good minimal models. After constructing a suitable moduli functor for polarized varieties with canonical singularities, we show that, if not birationally isotrivial, the base spaces of such families support subsheaves of log-pluridifferentials with posi...

Full description

Saved in:
Bibliographic Details
Published in:European journal of mathematics 2023-12, Vol.9 (4), Article 88
Main Author: Taji, Behrouz
Format: Article
Language:English
Subjects:
Algebraic Geometry
Mathematics
Mathematics and Statistics
Research Article
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study families of projective manifolds with good minimal models. After constructing a suitable moduli functor for polarized varieties with canonical singularities, we show that, if not birationally isotrivial, the base spaces of such families support subsheaves of log-pluridifferentials with positive Kodaira dimension. Consequently we prove that, over special base schemes, families of this type can only be birationally isotrivial and, as a result, confirm a conjecture of Kebekus and Kovács.
ISSN:2199-675X
2199-6768
DOI:10.1007/s40879-023-00681-6