English

Sarkisov links for index 1 Fano 3-folds in codimension 4

Algebraic Geometry 2021-09-13 v3

Abstract

We classify Sarkisov links from index 1 Fano 3-folds anticanonically embedded in codimension 4 that start from so-called Type I Tom centres. We apply this to compute the Picard rank of many such Fano 3-folds.

Keywords

Cite

@article{arxiv.2011.12209,
  title  = {Sarkisov links for index 1 Fano 3-folds in codimension 4},
  author = {Livia Campo},
  journal= {arXiv preprint arXiv:2011.12209},
  year   = {2021}
}

Comments

Minor changes following referee report, to appear in Mathematische Nachrichten. 25 pages, 2 figures, 1 table