Honda–Tate theorem
In mathematics, the Honda–Tate theorem classifies abelian varieties over finite fields up to isogeny. It states that the isogeny classes of simple abelian varieties over a finite field of order q correspond to algebraic integers all of whose conjugates (given by eigenvalues of the Frobenius endomorphism on the first cohomology group or Tate module) have absolute value √q. Tate showed that the map taking an isogeny class to the eigenvalues of the Frobenius is injective, and Taira Honda showed that this map is surjective, and therefore a bijection.
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Honda–Tate theorem
In mathematics, the Honda–Tate theorem classifies abelian varieties over finite fields up to isogeny. It states that the isogeny classes of simple abelian varieties over a finite field of order q correspond to algebraic integers all of whose conjugates (given by eigenvalues of the Frobenius endomorphism on the first cohomology group or Tate module) have absolute value √q. Tate showed that the map taking an isogeny class to the eigenvalues of the Frobenius is injective, and Taira Honda showed that this map is surjective, and therefore a bijection.
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In mathematics, the Honda–Tate ...... ve, and therefore a bijection.
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Inom matematiken är Honda–Tate ...... ktiv, och härmed en bijektion.
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Taira Honda
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Taira
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Honda
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In mathematics, the Honda–Tate ...... ve, and therefore a bijection.
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Inom matematiken är Honda–Tate ...... ktiv, och härmed en bijektion.
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Honda–Tate theorem
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Honda–Tates sats
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