Le complémentaire des puissances -ièmes dans un corps de nombres est un ensemble diophantien
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Publication:3458404
DOI10.1112/S0010437X15007368zbMath1346.14066arXiv1401.0915MaRDI QIDQ3458404
Jan Van Geel, Jean-Louis Colliot-Thélène
Publication date: 18 December 2015
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.0915
Varieties over global fields (11G35) Algebraic cycles (14C25) Global ground fields in algebraic geometry (14G25) Connections of number theory and logic (11U99)
Related Items (3)
Irreducibility of polynomials over global fields is diophantine ⋮ Diophantine definability of nonnorms of cyclic extensions of global fields ⋮ Smooth compactifications of certain normic bundles
Cites Work
- Zero cycles on fibrations over a curve of arbitrary genus
- The set of nonsquares in a number field is diophantine
- Existence of rational points on smooth projective varieties
- Algebraic elements in division algebras over function fields of curves
- Zero-cycles on rational surfaces over number fields
- Fibration method and Manin obstruction
- Degenerated fibers of Severi-Brauer schemes of orders
- A finiteness theorem for the Chow group of zero-cycles of a linear algebraic group on a \(p\)-adic field
- Riemann-Rochscher Satz und \(Z\)-Funktion im Hyperkomplexen
- Higher-dimensional analogs of Châtelet surfaces
- Rational points and zero-cycles on fibred varieties: Schinzel's hypothesis and Salberger's device
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