Two-dimensional families of hyperelliptic Jacobians with big monodromy

DOI10.1090/tran/6579zbMath1343.14025arXiv1310.6532OpenAlexW1779972625MaRDI QIDQ2790603

Yuri G. Zarhin

Publication date: 7 March 2016

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

Full work available at URL: https://arxiv.org/abs/1310.6532

zbMATH Keywords

endomorphism ringshyperelliptic curvesbig monodromy

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)

Related Items (5)

Boundedness results for 2‐adic Galois images associated to hyperelliptic Jacobians ⋮ Endomorphism rings of reductions of elliptic curves and abelian varieties ⋮ A note on Galois representations with big image ⋮ Galois Representations and Galois Groups Over ℚ ⋮ Galois groups of Mori trinomials and hyperelliptic curves with big monodromy

Cites Work

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• Galois groups of Mori trinomials and hyperelliptic curves with big monodromy
• Endomorphisms of superelliptic Jacobians
• Finiteness theorems for abelian varieties over number fields.
• Fields of definition for homomorphisms of abelian varieties
• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• Abelian varieties in characteristic p
• Surjectivity criteria for \(p\)-adic representations. I.
• Hyperelliptic Jacobians without complex multiplication
• Big monodromy theorem for abelian varieties over finitely generated fields
• Del Pezzo surfaces of degree 1 and Jacobians
• Endomorphisms of Abelian varieties over finite fields
• The classification of the irreducible complex algebras of infinite types
• Faisceaux amples sur les schémas en groupes et les espaces homogènes
• Hodge Classes on Certain Types of Abelian Varieties
• Remarks on Classical Invariant Theory
• Néron Models
• Projective Representations of Minimum Degree of Group Extensions
• The Modular Permutation Representations of the Known Doubly Transitive Groups
• An open-image theorem for a general class of abelian varieties
• Hodge classes on certain hyperelliptic prymians
• Modeles de neron et monodromie
• Families of absolutely simple hyperelliptic jacobians

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