English

Smooth Fano four folds in Gorenstein formats

Algebraic Geometry 2021-07-09 v1

Abstract

We construct some new deformation families of four-dimensional Fano manifolds of index 11 in some known classes of Gorenstein formats. These families have explicit descriptions in terms of equations, defining their image under the anti-canonical embedding in some weighted projective space. The constructed families have relatively smaller anti-canonical degrees than most other known families of smooth Fano 4-folds.

Keywords

Cite

@article{arxiv.2107.03710,
  title  = {Smooth Fano four folds in Gorenstein formats},
  author = {Muhammad Imran Qureshi},
  journal= {arXiv preprint arXiv:2107.03710},
  year   = {2021}
}

Comments

To appear in Bull. Aust. Math. Soc., 2 Tables, 1 Figure