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Specialization and rigidity
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DOI：10.1016/j.jalgebra.2026.04.045.png)
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Abstract
En 中文
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. (c) 2026 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons.org/licenses/by/4.0/).
Keywords:
Specialization
Rigidity
Very general position
Rationality problems
Rational section
Torsor
Reduction of structure
Division algebras
Symbol length
Period-index problem
Journal
J
IF:
0.8
Papers:
277
Citations:
0
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