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A principle asserting, for a specified class of arithmetic objects, that a global solution exists exactly when solutions exist over every completion of the global field.
This is a pattern, not a universal theorem: it holds for some classes and fails for others.
wp-local-global-principlenlab-local-global-principlemilne-algebraic-number-theorypoonen-rational-points-varietiesEach relation below ends at this concept.
No direct relations are authored in this direction.
Each relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Hasse–Minkowski is a paradigmatic positive local–global theorem.
A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.
milne-algebraic-number-theory