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arXiv · 2506.22314

Specialization and rigidity

Zinovy Reichstein·Federico Scavia
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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.

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Zinovy Reichstein, Federico Scavia. 2025-06-27. Specialization and rigidity. https://arxiv.org/abs/2506.22314

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