Hyperelliptic jacobians and simple groups $\mathbf {U}_3(2^m)$

DOI10.1090/S0002-9939-02-06689-3zbMath1001.14012arXivmath/0103082OpenAlexW1859567524MaRDI QIDQ3151184

Yuri G. Zarhin

Publication date: 7 October 2002

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

Full work available at URL: https://arxiv.org/abs/math/0103082

zbMATH Keywords

Galois groupfinite ground fieldunitary groupSteinberg representationhyperelliptic Jacobianendomorphisms of abelian varietyHermitean group

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Jacobians, Prym varieties (14H40) Finite ground fields in algebraic geometry (14G15) Algebraic theory of abelian varieties (14K05) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (2)

Endomorphisms of superelliptic Jacobians ⋮ Endomorphism Algebras of Abelian Varieties with Special Reference to Superelliptic Jacobians

Cites Work

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• Hyperelliptic Jacobians without complex multiplication
• The Steinberg character of a finite group with a \((B,N)\)-pair
• On unitary collineation groups
• The Steinberg representation
• On extensions of the maximal cyclotomic field having a given classical Galois group.
• Affine cohomological transforms, perversity, and monodromy
• Hyperelliptic Jacobians without complex multiplication in positive characteristic

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