WEIL NUMBERS GENERATED BY OTHER WEIL NUMBERS AND TORSION FIELDS OF ABELIAN VARIETIES

DOI10.1112/S0024610706023040zbMath1135.11030arXivmath/0504042OpenAlexW2111865861MaRDI QIDQ3419074

Emmanuel Kowalski

Publication date: 6 February 2007

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504042

zbMATH Keywords

monodromyabelian varietylarge sieveisogeny classtorsion pointWeil number

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Curves over finite and local fields (11G20) Applications of sieve methods (11N36) Isogeny (14K02) Varieties over finite and local fields (11G25)

Related Items (6)

INTEGRAL MONODROMY GROUPS OF KLOOSTERMAN SHEAVES ⋮ Frobenius finds non-monogenic division fields of abelian varieties ⋮ Lefschetz classes of simple factors of the Jacobian variety of a Fermat curve of prime degree over finite fields ⋮ Big symplectic or orthogonal monodromy modulo \(\ell\) ⋮ On the Colmez conjecture for non-abelian CM fields ⋮ Weil numbers in finite extensions of ℚ^{𝕒𝕓}: the Loxton-Kedlaya phenomenon

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