Generalization of Arnold-Viro inequalities for real singular algebraic curves

Sergey Finashin

Generalization of Arnold-Viro inequalities for real singular algebraic curves

alg-geom 2008-02-03 v1 Algebraic Geometry

Authors: Sergey Finashin

Abstract

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.

Keywords

Arnold inequalities Viro's construction real algebraic curves Milnor form real linking form

Cite

@article{arxiv.alg-geom/9706001,
  title  = {Generalization of Arnold-Viro inequalities for real singular algebraic curves},
  author = {Sergey Finashin},
  journal= {arXiv preprint arXiv:alg-geom/9706001},
  year   = {2008}
}

Comments

AMS-TeX, 8 pages

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