A note on the existence of absolutely simple Jacobians

DOI10.1016/S0022-4049(99)00096-1zbMath1006.14006arXivmath/9905063OpenAlexW2016926563MaRDI QIDQ1840475

Frans Oort, Ching-Li Chai

Publication date: 12 March 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9905063

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Finite ground fields in algebraic geometry (14G15) Global ground fields in algebraic geometry (14G25)

Related Items

Irrationality of generic cubic threefold via Weil's conjectures, The integral monodromy of hyperelliptic and trielliptic curves, Explicit bounds for split reductions of simple abelian varieties, The \(p\)-rank strata of the moduli space of hyperelliptic curves, Splitting of abelian varieties, Galois-theoretic characterization of isomorphism classes of monodromically full hyperbolic curves of genus zero

Cites Work

• On \(\ell\)-independence of algebraic monodromy groups in compatible systems of representations
• For an unconditional theory of motives
• The irreducibility of the space of curves of a given genus
• ℓ-Adic and λ-Adic Representations Associated to Abelian Varieties Defined Over Number Fields
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item