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On demontre la formule d'orientations complexes pour les M-courbes dans ℝℙ 2 de degre 4d + 1 ayant 4 nids. Cette formule generalise celle pour les M-courbes a nid profond. C'est un pas vers la classification des M-courbes de degre 9.

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Complex orientation formulas for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>M</mml:mi></mml:math>-curves of degree <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mn>4</mml:mn><mml:mi>d</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> with 4 nests

Complex orientation formulas for M-curves of degree 4d+1 with 4 nests