scientific article; zbMATH DE number 1834397

zbMath1082.11039arXivmath/0109014MaRDI QIDQ4779055

Yuri G. Zarhin

Publication date: 24 November 2002

Full work available at URL: https://arxiv.org/abs/math/0109014

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zbMATH Keywords

Abelian varietieshyperelliptic Jacobians\(\ell\)-adic representationsvery simple representations

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Algebraic theory of abelian varieties (14K05)

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Lifting images of standard representations of symmetric groups ⋮ Lang–Trotter revisited ⋮ Boundedness results for 2‐adic Galois images associated to hyperelliptic Jacobians ⋮ Irreducibility of random polynomials: general measures ⋮ Endomorphism rings of reductions of elliptic curves and abelian varieties ⋮ On a Question of Zannier ⋮ Hyperelliptic Jacobians with real multiplication ⋮ Centers of Hodge groups of superelliptic Jacobians ⋮ A note on Galois representations with big image ⋮ Two-dimensional families of hyperelliptic Jacobians with big monodromy ⋮ Endomorphisms of superelliptic Jacobians ⋮ Rank and bias in families of hyperelliptic curves via Nagao's conjecture ⋮ Endomorphism Algebras of Abelian Varieties with Special Reference to Superelliptic Jacobians ⋮ Galois groups of Mori trinomials and hyperelliptic curves with big monodromy

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