Arithmetic E8 Lattices with Maximal Galois Action

DOI10.1112/S1461157000001479zbMath1252.11055arXiv0803.3063OpenAlexW2964183143MaRDI QIDQ3091976

Anthony Várilly-Alvarado, David Zywina

Publication date: 15 September 2011

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.3063

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Automorphism groups of lattices (11H56)

Related Items

SYMPLECTIC STABILIZERS WITH APPLICATIONS TO ABELIAN VARIETIES ⋮ Fields of definition of rational curves of a given degree ⋮ Exterior powers of the adjoint representation and the Weyl ring of \(E_8\) ⋮ Del Pezzo surfaces over finite fields and their Frobenius traces ⋮ An explicit integral polynomial whose splitting field has Galois group \(W(E_8)\) ⋮ Some explicit integral polynomials with Galois group \(W(E_8)\) ⋮ The discriminant of a hypersurface in weighted projective space

Uses Software

• Magma

Cites Work

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• Construction of a del Pezzo surface with maximal Galois action on its Picard group
• The Magma algebra system. I: The user language
• Del Pezzo surfaces of degree 1 and Jacobians
• Lines on del pezzo surfaces with in characteristic ≠2