Euler characteristic of the Milnor fibre of plane singularities
Author:
A. MelleHernández
Journal:
Proc. Amer. Math. Soc. 127 (1999), 26532655
MSC (1991):
Primary 32S05, 14H20; Secondary 14B05
Published electronically:
May 19, 1999
MathSciNet review:
1676312
Fulltext PDF Free Access
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Abstract: We give a formula for the Euler characteristic of the Milnor fibre of any analytic function of two variables. This formula depends on the intersection multiplicities, the Milnor numbers and the powers of the branches of the germ of the curve defined by The goal of the formula is that it use neither the resolution nor the deformations of Moreover, it can be use for giving an algorithm to compute it.
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Additional Information
A. MelleHernández
Affiliation:
Departamento de Algebra, Facultad de CC. Matemáticas, Universidad Complutense de Madrid, Madrid 28040, Spain
Email:
amelle@eucmos.sim.ucm.es
DOI:
http://dx.doi.org/10.1090/S0002993999054234
PII:
S 00029939(99)054234
Keywords:
Euler characteristic,
Milnor fibration,
Milnor fibre
Received by editor(s):
July 24, 1996
Received by editor(s) in revised form:
June 27, 1997
Published electronically:
May 19, 1999
Additional Notes:
This work was done under the partial support of CAYCIT PB94291.
Communicated by:
Ron Donagi
Article copyright:
© Copyright 1999 American Mathematical Society
