Tate–Shafarevich group of an abelian variety

E1711509 UNEXPLORED

The Tate–Shafarevich group of an abelian variety is an arithmetic invariant measuring the failure of the local-global principle for rational points on the variety, encoding principal homogeneous spaces that are locally but not globally trivial.

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All labels observed (1)

Label	Occurrences
Tate–Shafarevich group of an abelian variety canonical	2

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Cassels–Tate pairing → definedOn → Tate–Shafarevich group of an abelian variety ⓘ

Shafarevich group of a torus → generalizes → Tate–Shafarevich group of an abelian variety ⓘ