Surfaces with triple points

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

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.

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