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词条 Shafarevich conjecture
释义

In mathematics, the Shafarevich conjecture, named for Igor Shafarevich, may refer to:

  • The Tate–Shafarevich conjecture that the Tate–Shafarevich group is finite
  • The Shafarevich conjecture that there are only finitely many isomorphism classes of abelian varieties of fixed dimension and fixed polarization degree over a fixed number field with good reduction outside a given finite set of places, now proved as Faltings's theorem
{{mathdab}}
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