Stephan Endraß, Ulf Persson, Jan Stevens
Published 2000-10-16Version 1
In this paper we compute upper bounds for the number of ordinary triple points on a hypersurface in $P^3$ 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.
Hodge numbers of hypersurfaces in $\mathbb P^{4}$ with ordinary triple points
Geometric Rank and Linear Determinantal Varieties
On conic-line arrangements with nodes, tacnodes, and ordinary triple points
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