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
V.I.Arnold, Invarianty i perestroiki ploskikh frontov, Trudy Math. lnst. Steklova (1993)
V.I. Arnold, Plane Curves, Their Invariants, Perestroikas and Classifications Adv. in Sov. Math., vo1.21, AMS, Providence (1994)
V.I.Arnold, Rutgers Lectures on plane curves and Wave fronts, Preprint Ceremade 9143 (1994)
F. Aicardi, Remarks on the symmetries of planar fronts, Revista Matematica de la Universidad Complutense de Madrid (1995)
F. Aicardi, P artial indices and linking numbers of planar fronts, Preprint (1994)
O. Viro, First degree invariants of generic curves on surfaces, Preprint Uppsala University U.U.D.M. 1994:21 (1994)
A. Shumakovich, Formulas for Strangeness of plane curves, S.Pbg Math Jour. (1995)
M. Polyak, Invariants of generic plane curves via Gauss diagrams, Preprint Bonn (1994).
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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
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