Journal of Algebraic Geometry

Author(s): Stephan Endrass; Ulf Persson; Jan Stevens
Journal: J. Algebraic Geom. 12 (2003), 367-404.
Posted: November 14, 2002
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Abstract: In this paper we compute upper bounds for the number of ordinary triple points on a hypersurface in $\mathbb{P}^3$ and give a complete classification for degree six (degree four or less is trivial, and five is elementary). However, 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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Stephan Endrass
Affiliation: Micronas GmbH, P. O. Box 840, D 79108 Freiburg, Germany
Email: endrass@micronas.com

Ulf Persson
Affiliation: Matematik, Chalmers tekniska högskola, SE 412 96 Göteborg, Sweden
Email: ulfp@math.chalmers.se

Jan Stevens
Affiliation: Matematik, Chalmers tekniska högskola, SE 412 96 Göteborg, Sweden
Email: stevens@math.chalmers.se

PII: S 1056-3911(02)00327-2
Received by editor(s): November 29, 2000
Posted: November 14, 2002
Additional Notes: The third author was partially supported by the Swedish Natural Science Research Council (NFR)

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