On PAC extensions and scaled trace forms

DOI10.1007/s11856-010-0004-2zbMath1251.11020arXiv0705.3573OpenAlexW2121020838MaRDI QIDQ5962246

Dubi Kelmer, Lior Bary-Soroker

Publication date: 21 September 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3573

zbMATH Keywords

quadratic formsHilbertian fieldsPAC extensionsPAC fieldsscaled trace forms

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Hilbertian fields; Hilbert's irreducibility theorem (12E25) Field arithmetic (12E30)

Related Items (4)

Projective pairs of profinite groups. ⋮ Irreducible values of polynomials ⋮ Irreducibility and embedding problems ⋮ On pseudo algebraically closed extensions of fields

Cites Work

• Unnamed Item
• Unnamed Item
• PAC fields over finitely generated fields
• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• Scaled trace forms over number fields
• On trace forms of Hilbertian fields
• Algebraic number field extensions with prescribed trace form
• Pseudo algebraically closed fields over rings
• Dirichlet’s theorem for polynomial rings
• The Discriminant Matrices of An Algebraic Number Field
• On trace forms of algebraic number fields
• On trace forms of algebraic number fields

This page was built for publication: On PAC extensions and scaled trace forms