On cubic surfaces with a rational line |
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| Authors: | Andreas-Stephan Elsenhans J?rg Jahnel |
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| Institution: | 1. Mathematisches Institut, Universit?t Bayreuth, Universit?tsstra?e 30, 95440, Bayreuth, Germany
2. Département Mathematik, Universit?t Siegen, Walter-Flex-Str. 3, 57068, Siegen, Germany
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| Abstract: | We report on our project to construct non-singular cubic surfaces over
\mathbbQ{\mathbb{Q}} with a rational line. Our method is to start with degree 4 Del Pezzo surfaces in diagonal form. For these, we develop an
explicit version of Galois descent. |
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| Keywords: | |
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