Connected components of Hurwitz schemes and Malle's conjecture

DOI10.1016/j.jnt.2015.03.005zbMath1325.11122arXiv0809.0951OpenAlexW2964050584WikidataQ123117362 ScholiaQ123117362MaRDI QIDQ2347038

Seyfi Türkelli

Publication date: 26 May 2015

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

Full work available at URL: https://arxiv.org/abs/0809.0951

zbMATH Keywords

Malle's conjectureHurwitz schemesbranch covers

Mathematics Subject Classification ID

Galois theory (11R32) Coverings of curves, fundamental group (14H30)

Related Items (8)

On Malle’s conjecture for nilpotent groups ⋮ Torsors for finite group schemes of bounded height ⋮ Heuristics for the asymptotics of the number of Sn$S_n$‐number fields ⋮ On the Northcott property for special values of \(L\)-functions ⋮ Nonabelian Cohen-Lenstra moments ⋮ The weak form of Malle's conjecture and solvable groups ⋮ Malle's conjecture for for ⋮ Statistics of the first Galois cohomology group: a refinement of Malle's conjecture

Cites Work

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• Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields
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• A counter example to Malle's conjecture on the asymptotics of discriminants
• The density of discriminants of quartic rings and fields
• Distribution of Discriminants of Abelian Extensions
• Density of discriminants of cubic extensions.
• Algebraic covers: Field of moduli versus field of definition
• Counting nilpotent Galois extensions
• On the Distribution of Galois Groups, II
• On the density of discriminants of cubic fields. II
• On the distribution of Galois groups

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