Cubic surfaces with a Galois invariant double-six

• Autorzy: Andreas-Stephan Elsenhans , Jörg Jahnel
• Języki publikacji: EN

Abstrakty

EN

We present a method to construct non-singular cubic surfaces over ℚ with a Galois invariant double-six. We start with cubic surfaces in the hexahedral form of L. Cremona and Th. Reye. For these, we develop an explicit version of Galois descent.

Słowa kluczowe

EN

Cubic surface; Hexahedral form; Double-six; Explicit Galois descent

Kategorie tematyczne

• 14J26: Rational and ruled surfaces
• 14G25: Global ground fields

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 4
• Strony: 646-661

Daty

wydano

2010-08-01

online

2010-07-24

Twórcy

autor

Andreas-Stephan Elsenhans

• Mathematisches Institut, Universität Bayreuth, Bayreuth, Germany

autor

Jörg Jahnel

• Fachbereich 6 Mathematik, Siegen, Germany

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0036-1