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- Tate–Shafarevich_group abstract "In arithmetic geometry, the Tate–Shafarevich group Ш(A/K), introduced by Lang and Tate (1958) and Shafarevich (1959), of an abelian variety A (or more generally a group scheme) defined over a number field K consists of the elements of the Weil–Châtelet group WC(A/K) = H1(GK, A) that become trivial in all of the completions of K (i.e. the p-adic fields obtained from K, as well as its real and complex completions). Thus, in terms of Galois cohomology, in can be written asCassels introduced the notation Ш(A/K), where Ш is the Cyrillic letter "Sha", for Shafarevich, replacing the older notation TS.".
- Tate–Shafarevich_group wikiPageID "25711736".
- Tate–Shafarevich_group wikiPageRevisionID "573334743".
- Tate–Shafarevich_group align "right".
- Tate–Shafarevich_group author2Link "John Tate".
- Tate–Shafarevich_group last "Lang".
- Tate–Shafarevich_group last "Tate".
- Tate–Shafarevich_group quote "This is the author's most lasting contribution to the subject. The original notation was TS, which, Tate tells me, was intended to continue the lavatorial allusion of WC. The Americanism "tough shit" indicates the part that is difficult to eliminate.".
- Tate–Shafarevich_group source ", commenting on his introduction of the notation Ш.".
- Tate–Shafarevich_group width "33.0".
- Tate–Shafarevich_group year "1958".
- Tate–Shafarevich_group subject Category:Number_theory.
- Tate–Shafarevich_group comment "In arithmetic geometry, the Tate–Shafarevich group Ш(A/K), introduced by Lang and Tate (1958) and Shafarevich (1959), of an abelian variety A (or more generally a group scheme) defined over a number field K consists of the elements of the Weil–Châtelet group WC(A/K) = H1(GK, A) that become trivial in all of the completions of K (i.e. the p-adic fields obtained from K, as well as its real and complex completions).".
- Tate–Shafarevich_group label "Tate–Shafarevich group".
- Tate–Shafarevich_group sameAs Tate%E2%80%93Shafarevich_group.
- Tate–Shafarevich_group sameAs Q7688027.
- Tate–Shafarevich_group sameAs Q7688027.
- Tate–Shafarevich_group wasDerivedFrom Tate–Shafarevich_group?oldid=573334743.