A general specialization theorem shows that rigid properties of fibers in algebraic families define countable unions of closed loci, unifying and extending results in dynamics, rationality, and central simple algebras.
Period-index bounds for arithmetic threefolds
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Specialization and rigidity
A general specialization theorem shows that rigid properties of fibers in algebraic families define countable unions of closed loci, unifying and extending results in dynamics, rationality, and central simple algebras.