Specialization and rigidity

Fuente: arXiv
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Autori principali: Reichstein, Zinovy, Scavia, Federico
Natura: Preprint
Pubblicazione: 2025
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author Reichstein, Zinovy
Scavia, Federico
author_facet Reichstein, Zinovy
Scavia, Federico
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_22314
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Specialization and rigidity
Reichstein, Zinovy
Scavia, Federico
Algebraic Geometry
14A15 (Primary) 14E08, 14F22, 14M17, 16K20, 16H05
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.
title Specialization and rigidity
topic Algebraic Geometry
14A15 (Primary) 14E08, 14F22, 14M17, 16K20, 16H05
url https://arxiv.org/abs/2506.22314