Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911



Surfaces with triple points

Authors: Stephan Endrass, Ulf Persson and Jan Stevens
Journal: J. Algebraic Geom. 12 (2003), 367-404
Published electronically: November 14, 2002
MathSciNet review: 1949649
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Abstract | References | Additional Information

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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Additional Information

Stephan Endrass
Affiliation: Micronas GmbH, P. O. Box 840, D 79108 Freiburg, Germany

Ulf Persson
Affiliation: Matematik, Chalmers tekniska högskola, SE 412 96 Göteborg, Sweden

Jan Stevens
Affiliation: Matematik, Chalmers tekniska högskola, SE 412 96 Göteborg, Sweden

Received by editor(s): November 29, 2000
Published electronically: November 14, 2002
Additional Notes: The third author was partially supported by the Swedish Natural Science Research Council (NFR)