English

Fibres of embedding dimension 2 in generic projections

Algebraic Geometry 2015-03-30 v3

Abstract

We consider a general fibre of given length in a generic projection of a va- riety. Under the assumption that the fibre is of local embedding dimension 2 or less, an assumption which can be checked in many cases, we prove that the fibre is reduced and its image on the projected variety is an ordinary multiple point.

Keywords

Cite

@article{arxiv.1503.06352,
  title  = {Fibres of embedding dimension 2 in generic projections},
  author = {Ziv Ran},
  journal= {arXiv preprint arXiv:1503.06352},
  year   = {2015}
}
R2 v1 2026-06-22T08:58:46.474Z