Generalization of Arnold-Viro inequalities for real singular algebraic curves

Mathematics – Algebraic Geometry

Scientific paper

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AMS-TeX, 8 pages

Scientific paper

The Arnold inequalities characterizing the topology of non-singular plane
real algebraic curves and the generalization of these inequalities for nodal
curves by Viro are extended in this paper for the curves whose singularities
have non-degenerated Milnor form. This involves an invariant of such real
singularities, the real linking form, which is calculated.

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