## Title data

Elsenhans, Andreas-Stephan ; Jahnel, Jörg:

**On the arithmetic of the discriminant for cubic surfaces.**

*In:* Journal of the Ramanujan Mathematical Society.
Vol. 27
(2012)
Issue 3
.
- pp. 355-373.

ISSN 0970-1249

## Abstract in another language

The 27 lines on a smooth cubic surface over Q are acted upon by a finite quotient of Gal(bar{Q}/Q). We construct explicit examples such that the operation is via the index two subgroup of the maximal possible group. This is the simple group of order 25920. Our examples are given in pentahedral normal form with rational coefficients. On the corresponding parameter space, we search for rational points, discuss their asymptotic, and construct an accumulating subvariety.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Keywords: | Cubic surface; Pentahedral normal form; Discriminant; Rational point; Manin’s conjecture; Accumulating subvariety |

Subject classification: | 1991 Mathematics Subject Classification Code: 11G35 (14J20 14J45 11G50) |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 08 Apr 2016 08:37 |

Last Modified: | 08 Apr 2016 08:37 |

URI: | https://eref.uni-bayreuth.de/id/eprint/32131 |