English

Rationality of Fano threefolds with terminal Gorenstein singularities, II

Algebraic Geometry 2022-05-18 v2

Abstract

We classify nonrational Fano threefolds XX with terminal Gorenstein singularities such that \rk\Pic(X)=1\mathrm{\rk}\, \mathrm{\Pic}(X)=1, (KX)38(-K_X)^3\ge 8, and \rk\Cl(X)2\mathrm{\rk}\, \mathrm{\Cl}(X)\le 2.

Keywords

Cite

@article{arxiv.2112.07001,
  title  = {Rationality of Fano threefolds with terminal Gorenstein singularities, II},
  author = {Yuri Prokhorov},
  journal= {arXiv preprint arXiv:2112.07001},
  year   = {2022}
}

Comments

25 pages, submitted to Rendiconti del Circolo Matematico di Palermo, special volume on "Rationality problems"