DENSITY RESULTS FOR SPECIALIZATION SETS OF GALOIS COVERS
DOI10.1017/S1474748019000537zbMath1481.11110arXiv1904.05051OpenAlexW2937701057WikidataQ126984294 ScholiaQ126984294MaRDI QIDQ3383317
François Legrand, Joachim König
Publication date: 23 September 2021
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.05051
rational pointsGalois theory\(abc\)-conjectureHasse principleuniformity conjectureMalle conjecturespecializationstwisted covershyperelliptic and superelliptic curves
Galois theory (11R32) Rational points (14G05) [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)] Coverings in algebraic geometry (14E20)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Specialization results and ramification conditions
- Parametric Galois extensions
- On the Malle conjecture and the self-twisted cover
- Galois covers and the Hilbert-Grunwald property
- Selmer ranks of twists of hyperelliptic curves and superelliptic curves
- On the proportion of rank 0 twists of elliptic curves
- Divisibilite de certaines fonctions arithmétiques
- Rank-one twists of a certain elliptic curve
- ABC and the Hasse principle for quadratic twists of hyperelliptic curves
- The Grunwald problem and approximation properties for homogeneous spaces
- Non-parametric sets of regular realizations over number fields
- Asymptotics of number fields and the Cohen-Lenstra heuristics
- Field Arithmetic
- Rank-one quadratic twists of an infinite family of elliptic curves
- Rigidity and real residue class fields
- Fields of definition of function fields and hurwitz families — groups as galois groups
- The Distribution of Galois Groups and Hilbert's Irreducibility Theorem
- Twists of Superelliptic Curves Without Rational Points
- Groups with no parametric Galois realizations
- Counting nilpotent Galois extensions
- A Database for Field Extensions of the Rationals
- Ranks of quadratic twists of an elliptic curve
- Inverse Galois Theory
- The Square-Free Sieve and the Rank of Elliptic Curves
- On the Local Behavior of Specializations of Function Field Extensions
- Non-parametricity of rational translates of regular Galois extensions
- Torsion points on CM elliptic curves over real number fields
- Rational and Integral Points on Quadratic Twists of a Given Hyperelliptic Curve
- Mass Formulae for Extensions of Local Fields, and Conjectures on the Density of Number Field Discriminants
- The density of discriminants of $S_3$-sextic number fields
- Uniformity of rational points
- On extensions of number fields obtained by specializing branched coverings.
- On the distribution of Galois groups
This page was built for publication: DENSITY RESULTS FOR SPECIALIZATION SETS OF GALOIS COVERS