On Hilbert’s irreducibility theorem for linear algebraic groups
From MaRDI portal
Publication:5090324
DOI10.2422/2036-2145.202005_013OpenAlexW3211812177WikidataQ113704550 ScholiaQ113704550MaRDI QIDQ5090324
No author found.
Publication date: 18 July 2022
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2422/2036-2145.202005_013
Varieties over global fields (11G35) Global ground fields in algebraic geometry (14G25) Hilbertian fields; Hilbert's irreducibility theorem (12E25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On varieties of Hilbert type
- Hilbert irreducibility above algebraic groups
- An explicit integral polynomial whose splitting field has Galois group \(W(E_8)\)
- Principal homogeneous spaces under flasque tori; applications
- On subgroups of \(GL_ n(F_ p)\)
- On the irreducibility of the polynomials \(P(t^ m,Y)\)
- Existence of irreducible \(\mathbb R\)-regular elements in Zariski-dense subgroups
- Splitting fields of characteristic polynomials of random elements in arithmetic groups
- A proof of Pisot's \(d\)th root conjecture
- Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps)
- Splitting fields of elements in arithmetic groups
- On the Hilbert property and the fundamental group of algebraic varieties
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
- Lectures on an introduction to Grothendieck's theory of the fundamental group
- The Galois group of random elements of linear groups
- Algebraic Groups Over Finite Fields
- Rational fixed points for linear group actions
- Generic elements of a Zariski-dense subgroup form an open subset
- Number of Points of Varieties in Finite Fields
This page was built for publication: On Hilbert’s irreducibility theorem for linear algebraic groups
