Euler characteristic of the Milnor fibre of plane singularities
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- by A. Melle-Hernández PDF
- Proc. Amer. Math. Soc. 127 (1999), 2653-2655 Request permission
Abstract:
We give a formula for the Euler characteristic of the Milnor fibre of any analytic function $f$ 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 $f.$ The goal of the formula is that it use neither the resolution nor the deformations of $f.$ Moreover, it can be use for giving an algorithm to compute it.References
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Additional Information
- A. Melle-Hernández
- Affiliation: Departamento de Algebra, Facultad de CC. Matemáticas, Universidad Complutense de Madrid, Madrid 28040, Spain
- Email: amelle@eucmos.sim.ucm.es
- 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 PB94-291.
- Communicated by: Ron Donagi
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2653-2655
- MSC (1991): Primary 32S05, 14H20; Secondary 14B05
- DOI: https://doi.org/10.1090/S0002-9939-99-05423-4
- MathSciNet review: 1676312