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An analytic invariant of ordinary curve singularities

Author(s): Joaquim Roé
Journal: Proc. Amer. Math. Soc. 127 (1999), 3525-3526.
MSC (1991): Primary 14H20
Posted: July 27, 1999
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Abstract: It is well known that analytically equivalent ordinary plane curve singularities have projectively equivalent tangent cones. In this note we introduce an analytic invariant in order to show two non analytically equivalent ordinary 5-fold points with projectively equivalent (or equal) tangent cones.

References:

1.: Casas-Alvero, E., Singularities of plane curves (1997), to appear.
2.: Harris, J., Algebraic Geometry, GTM 133, Springer Verlag 1992. MR 93j:14001
3.: Semple, J.G., Some investigations in the geometry of curve and surface elements, Proc. London Math. Soc. (3) 4 (1954), 24-49. MR 15:820c

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Additional Information:

Joaquim Roé
Affiliation: Departament d'Àlgebra i Geometria, Universitat de Barcelona Gran Via, 585, E-08007, Barcelona, Spain
Email: jroevell@cerber.mat.ub.es

DOI: 10.1090/S0002-9939-99-05431-3
PII: S 0002-9939(99)05431-3
Received by editor(s): March 2, 1998
Posted: July 27, 1999
Additional Notes: The author was partially supported by 1997FI-00141, CAICYT PB95-0274 and ``AGE-Algebraic Geometry in Europe" contract no. ERB940557.
Communicated by: Ron Donagi
Copyright of article: Copyright 1999, American Mathematical Society


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