English

Equivariant birational geometry of quintic del Pezzo surface

Algebraic Geometry 2018-08-17 v1

Abstract

In this paper we prove that there are exactly two GG-minimal surfaces which are GG-birational to the quintic del Pezzo surface, where GC5C4G \cong C_5 \rtimes C_4. These surfaces are the quintic del Pezzo surface itself and the surface P1×P1\mathbb{P}^1 \times \mathbb{P}^1.

Keywords

Cite

@article{arxiv.1808.05396,
  title  = {Equivariant birational geometry of quintic del Pezzo surface},
  author = {Jonas Wolter},
  journal= {arXiv preprint arXiv:1808.05396},
  year   = {2018}
}