|
Moduli of plane curve singularities with a single characteristic exponent
Author(s):
Rosa
Peraire
Journal:
Proc. Amer. Math. Soc.
126
(1998),
25-34.
MSC (1991):
Primary 14H20, 32S10
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
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.
References:
- [1]
- Briançon, J., Weierstrass préparé à la Hironaka, Astérisque 7 et 8 (1973), 67-73. MR 50:13584
- [2]
- Briançon, J., Description de
, Invent. Math. 41 (1977), 45-89. MR 56:15637 - [3]
- Briançon, J., Granger, M., Maisonobe, Ph., Le nombre de modules du germe de courbe plane
, Math. Ann. 279 (1988), 535-551. MR 89c:14001 - [4]
- Buchberger, B., Ein algorithmus zum auffiden der basiselemente des restklassenringes nach einem nulldimensionalen polynomideal, Thesis Univ. Insbruck, 1965.
- [5]
- Capani, L., Niesi, A., Robbiano, L., CoCoA: A system for doing computations in commutative algebra, Department of Mathematics, University of Genova. e-mail: cocoa@ dima.unige.it.
- [6]
- Casas-Alvero, E., Moduli of algebroid plane curves, Algebraic Geometry, La Rábida 1981, Springer-Verlag. Lecture Notes in Math, 961, Berlin, 1982, pp. 32-83. MR 85g:14028
- [7]
- Laudal, O.A., Pfister, G., Local moduli and singularities, Springer-Verlag, Lecture Notes in Math. 1310, 1988. MR 89h:14008
- [8]
- Teissier, B., Appendix to [10]. MR 54:2662
- [9]
- Zariski, O., Characterization of plane algebroid curves whose module of differentials has maximum torsion, Proceedings Nat. Acad. of Science U.S.A 56 (1966), 781-786. MR 34:2576
- [10]
- Zariski, O., Le problème des modules pour les branches planes, Centre de Math., Ecole Polytechnique, Paris, 1973. MR 54:2662
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(1991):
14H20, 32S10
Retrieve articles in all Journals with MSC
(1991):
14H20, 32S10
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:
10.1090/S0002-9939-98-04468-2
PII:
S 0002-9939(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
Copyright of article:
Copyright
1998,
American Mathematical Society
|