A Generalisation of the Viro-Arnold inequalities for Real Singular Algebraic Curves

Date

2000-12-01

Author

Finashin, Sergey

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The Arnold inequalities characterizing the topology of real nonsingular algebraic plane curves and the extension of these inequalities to nodal curves by Viro are extended in this paper further, to the curves whose singularities have non-degenerate Milnor forms. This involves an invariant defined for such real singularities, the linking form, which can be evaluated using the diagrams of Gusein-Zade and A'Campo.

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https://books.google.com.tr/books?hl=en&lr=&id=ZOAaCAAAQBAJ&oi=fnd&pg=PA31&ots=i9P-InBy4h&sig=GQWrwrx-X50I0rPCfvPU6sXV9LI&redir_esc=y#v=onepage&q&f=false
https://hdl.handle.net/11511/115264

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Department of Mathematics, Article