## Title data

Stoll, Michael:

**Reduction theory of point clusters in projective space.**

*In:* Groups, Geometry, and Dynamics.
Vol. 5
(2011)
Issue 2
.
- pp. 553-565.

ISSN 1661-7207

DOI: https://doi.org/10.4171/GGD/139

## Abstract in another language

We generalise earlier results of John Cremona and the author on the reduction theory of binary forms, whose zeros give point clusters in P^1, to point clusters in projective spaces P^n of arbitrary dimension. In particular, we show how to find a reduced representative in the SL(n+1,Z)-orbit of a given cluster. As an application, we show how one can find a unimodular transformation that produces a small equation for a given smooth plane curve.

## Further data

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

Refereed: | Yes |

Keywords: | Reduction theory; point clusters |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II > Chair Mathematics II - Univ.-Prof. Dr. Michael Stoll 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: | 21 Jan 2015 13:27 |

Last Modified: | 27 Jan 2015 12:59 |

URI: | https://eref.uni-bayreuth.de/id/eprint/5756 |