English

Surfaces with triple points

Algebraic Geometry 2007-05-23 v1

Abstract

In this paper we compute upper bounds for the number of ordinary triple points on a hypersurface in P3P^3 and give a complete classification for degree six (degree four or less is trivial, and five is elementary). But the real purpose is to point out the intricate geometry of examples with many triple points, and how it fits with the general classification of surfaces.

Keywords

Cite

@article{arxiv.math/0010163,
  title  = {Surfaces with triple points},
  author = {Stephan Endraß and Ulf Persson and Jan Stevens},
  journal= {arXiv preprint arXiv:math/0010163},
  year   = {2007}
}