S.M.Natanzon

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19992003

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math.CV2003

Towards an Effectivisation of the Riemann Theorem

S. M. Natanzon

The Riemann Theorem states, that for any nontrivial connected and simply connected domain on the Riemann sphere there exists some its conformal bijection to the exterior of the uni…

math.CV2001

Integrable systems and effectivisation of Riemann theorem about domaims of the complex plane

S. M. Natanzon

Consider a closed analytic curve $γ$ in the complex plane and denote by > $D_{+}$ and $D_{-}$ the interior and exterior domains with respect to the curve. The point $z = 0$ is assumed to…

math.CV1999

Geometry and algebra of real forms of complex curves

S. M. Natanzon

Let Y be a complex algebraic curve and let [Y]={X_1,...,X_n} be the set of all real algebraic curves X_i with complexification X_i(C)=Y, such that the real points X_i(R) divide X_i…