Non-rational varieties with the Hilbert Property
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Publication:5111939
DOI10.1142/S1793042120500414zbMath1457.14051arXiv1801.10413OpenAlexW2979139093MaRDI QIDQ5111939
Publication date: 27 May 2020
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.10413
Rational points (14G05) Rational and unirational varieties (14M20) (K3) surfaces and Enriques surfaces (14J28) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Cubic and quartic Diophantine equations (11D25)
Related Items (6)
On the distribution of rational points on ramified covers of abelian varieties ⋮ The Hilbert property for arithmetic schemes ⋮ Rank jumps on elliptic surfaces and the Hilbert property ⋮ A Hilbert irreducibility theorem for Enriques surfaces ⋮ Ramified covers of abelian varieties over torsion fields ⋮ Rational points and ramified covers of products of two elliptic curves
Cites Work
- On varieties of Hilbert type
- Noether's problem over an algebraically closed field
- Density of rational points on diagonal quartic surfaces
- Principal homogeneous spaces under flasque tori; applications
- On solvable number fields
- On the Hilbert property and the fundamental group of algebraic varieties
- Invariant rational functions and a problem of Steenrod
- Zéro-cycles sur les espaces homogènes et problème de Galois inverse
- Quelques propriétés d’approximation reliées à la cohomologie galoisienne d’un groupe algébrique fini
- RATIONALITY OF SOME QUOTIENT VARIETIES
- THE BRAUER GROUP OF QUOTIENT SPACES BY LINEAR GROUP ACTIONS
- Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres
- Density of rational points on elliptic surfaces
- The Brauer-Manin obstructions for homogeneous spaces with connected or abelian stabilizer.
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