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Moduli of plane curve singularities
with a single characteristic exponent


Author: Rosa Peraire
Journal: Proc. Amer. Math. Soc. 126 (1998), 25-34
MSC (1991): Primary 14H20, 32S10
DOI: https://doi.org/10.1090/S0002-9939-98-04468-2
MathSciNet review: 1459145
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Abstract: This paper studies the moduli space corresponding to irreducible germs of plane analytic curve with a single characteristic exponent. We stratify the moduli space corresponding to such germs using an analytical invariant introduced by Zariski. Then, we compute the minimum Tjurina number on each stratum as well as the dimension of the strata.


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Additional Information

Rosa Peraire
Affiliation: Departament d’Algebra i Geometria, Universitat de Barcelona. Gran Via, 585, 08007 Barcelona, Spain
Email: peraire@cerber.mat.ub.es

DOI: https://doi.org/10.1090/S0002-9939-98-04468-2
Keywords: Moduli, Tjurina number, equisingular miniversal deformation
Received by editor(s): April 19, 1996
Additional Notes: Supported by CAICYT PB91-0210-C02-02
Communicated by: Ron Donagi
Article copyright: © Copyright 1998 American Mathematical Society