English

On the rationality of quadric surface bundles

Algebraic Geometry 2023-11-22 v3 Complex Variables

Abstract

For any standard quadric surface bundle over P2\mathbb P^2, we show that the locus of rational fibres is dense in the moduli space.

Keywords

Cite

@article{arxiv.1811.05271,
  title  = {On the rationality of quadric surface bundles},
  author = {Matthias Paulsen},
  journal= {arXiv preprint arXiv:1811.05271},
  year   = {2023}
}

Comments

20 pages; to appear in Annales de l'Institut Fourier