Moduli spaces and the inverse Galois problem for cubic surfaces

DOI10.1090/S0002-9947-2015-06277-1zbMath1331.14039arXiv1209.5591MaRDI QIDQ2944917

Andreas-Stephan Elsenhans, Jörg Jahnel

Publication date: 8 September 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5591

zbMATH Keywords

Galois groupinverse Galois problemcubic surfacemoduli scheme

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Inverse Galois theory (12F12) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Moduli, classification: analytic theory; relations with modular forms (14J15) Global ground fields in algebraic geometry (14G25)

Related Items (7)

Lines on \(p\)-adic and real cubic surfaces ⋮ Plane quartics with a Galois-invariant Steiner hexad ⋮ On plane quartics with a Galois invariant Cayley octad ⋮ Resolvent degree, Hilbert's 13th problem and geometry ⋮ Computing invariants of cubic surfaces ⋮ Del Pezzo surfaces over finite fields and their Frobenius traces ⋮ The discriminant of a hypersurface in weighted projective space

Uses Software

• Macaulay2
• BGG

Cites Work

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• CUBIC SURFACES WITH A GALOIS INVARIANT PAIR OF STEINER TRIHEDRA

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