English

G-Fano threefolds, I

Algebraic Geometry 2013-08-06 v3

Abstract

We classify Fano threefolds with only terminal singularities whose canonical class is Cartier and divisible by 2, and satisfying an additional assumption that the GG-invariant part of the Weil divisor class group is of rank 1 with respect to an action of some group GG. In particular, we find a lot of examples of Fano 3-folds with "many" symmetries.

Keywords

Cite

@article{arxiv.1012.4959,
  title  = {G-Fano threefolds, I},
  author = {Yuri Prokhorov},
  journal= {arXiv preprint arXiv:1012.4959},
  year   = {2013}
}

Comments

36 pages, LaTeX2e

R2 v1 2026-06-21T17:03:04.121Z