Galois groups arising from families with big orthogonal monodromy

DOI10.1142/S1793042123500057WikidataQ114071768 ScholiaQ114071768MaRDI QIDQ5877910

David Zywina

Publication date: 16 February 2023

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07273

zbMATH Keywords

Galois groupsGalois representationselliptic curves over function fieldsbig monodromy

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Galois representations (11F80)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The primitive cohomology lattice of a complete intersection
• The generic irreducibility of the numerator of the zeta function in a family of curves with large monodromy
• Automorphisms of even unimodular lattices and unramified Salem numbers
• Maximality of Galois actions for compatible systems
• Big symplectic or orthogonal monodromy modulo \(\ell\)
• On the parity of the number of irreducible factors of self-reciprocal polynomials over finite fields
• Root numbers and ranks in positive characteristic
• On the spinor norm
• Report on the irreducibility of L-functions
• Elliptic curves with maximal Galois action on their torsion points
• Maximal Galois Group of L-Functions of Elliptic Curves
• The Finite Simple Groups
• Exponential Sums and Differential Equations. (AM-124)

This page was built for publication: Galois groups arising from families with big orthogonal monodromy