English

Remarks on defective Fano manifolds

Algebraic Geometry 2017-02-03 v1

Abstract

This note continues our previous work on special secant defective (specifically, conic connected and local quadratic entry locus) and dual defective manifolds. These are now well understood, except for the prime Fano ones. Here we add a few remarks on this case, completing the results in our papers \cite{LQEL I}, \cite{LQEL II}, \cite{CC}, \cite{HC} and \cite{DD}; see also the recent book \cite{Russo}

Keywords

Cite

@article{arxiv.1702.00625,
  title  = {Remarks on defective Fano manifolds},
  author = {Paltin Ionescu and Francesco Russo},
  journal= {arXiv preprint arXiv:1702.00625},
  year   = {2017}
}

Comments

To appear on Annali dell'Universit\`a di Ferrara, in a special volume dedicated to the memory of Alexandru Lascu