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Discriminants and local invariants of planar fronts

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Abstract

The aim of this study is the description of all the local additive invariants of the plane wave fronts. A generic wave front is a curve whose only singularities are the transversal self-intersections on the semicubical cusps (see fig. 1a, b). The invariants that we shall find are “dual” to different strata of the discriminant formed by the nongeneric wave fronts.

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References

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© 1997 Birkhäuser Boston

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Aicardi, F. (1997). Discriminants and local invariants of planar fronts. In: Arnold, V.I., Gelfand, I.M., Retakh, V.S., Smirnov, M. (eds) The Arnold-Gelfand Mathematical Seminars. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4122-5_1

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  • DOI: https://doi.org/10.1007/978-1-4612-4122-5_1

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-8663-9

  • Online ISBN: 978-1-4612-4122-5

  • eBook Packages: Springer Book Archive

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