Specialization and rigidity
Algebraic Geometry
2025-06-30 v1
Abstract
We describe a general method, originated by Ofer Gabber, for showing that a very general fiber in a family has certain properties. We illustrate this method with concrete examples taken from algebraic dynamics, the rationality problem for algebraic varieties, Galois theory, quadratic form theory and the theory of central simple algebras.
Keywords
Cite
@article{arxiv.2506.22314,
title = {Specialization and rigidity},
author = {Zinovy Reichstein and Federico Scavia},
journal= {arXiv preprint arXiv:2506.22314},
year = {2025}
}
Comments
37 pages