English

The defect of Fano 3-folds

Algebraic Geometry 2009-08-24 v3

Abstract

This paper studies the defect of terminal Gorenstein Fano 3 folds. I determine a bound on the defect of terminal Gorenstein Fano 3-folds of Picard rank 1 that do not contain a plane. I give a general bound for quartic 3-folds and indicate how to study the defect of terminal Gorenstein Fano 3-folds with Picard rank 1 that contain a plane.

Keywords

Cite

@article{arxiv.0711.2186,
  title  = {The defect of Fano 3-folds},
  author = {Anne-Sophie Kaloghiros},
  journal= {arXiv preprint arXiv:0711.2186},
  year   = {2009}
}

Comments

24 pages, minor changes in exposition, final version