English

The G\"opel variety

Algebraic Geometry 2017-10-12 v1 Combinatorics Number Theory

Abstract

In this paper we will prove that the six-dimensional G\"opel variety in P134P^{134} is generated by 120 linear, 35 cubic and 35 quartic relations. This result was already obtained in [RS] , but the authors used a statement in [Co] saying that the G\"opel variety set theoretically is generated by the linear and cubic relations alone. Unfortunately this statement is false. There are 120 extra points. Nevertheless the results stated in [RS] are correct. There are required several changes that we will illustrate in some detail

Cite

@article{arxiv.1706.05816,
  title  = {The G\"opel variety},
  author = {Eberhard Freitag and Riccardo Salvati Manni},
  journal= {arXiv preprint arXiv:1706.05816},
  year   = {2017}
}
R2 v1 2026-06-22T20:22:24.108Z