N\'eron models, minimal models, and birational group actions
Algebraic Geometry
2025-02-20 v1 Number Theory
Abstract
Let be an Abelian variety over the quotient field of a Dedekind domain . We show that the identity component of the N\'eron model of acts regularly on any minimal model of over , and discuss when the N\'eron model is an open subset of a minimal model. The main technical result is the rigidity of small modifications, leading to a regularity criterion for birational group actions.
Keywords
Cite
@article{arxiv.2502.13800,
title = {N\'eron models, minimal models, and birational group actions},
author = {János Kollár},
journal= {arXiv preprint arXiv:2502.13800},
year = {2025}
}