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Orientations complexes des J-courbes reelles

Jean-Yves Welschinger
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Abstract

The aim of this article is to obtain restrictions on complex orientations of dividing real J-curves of almost-complex manifolds. This problem comes from real algebraic geometry and the main result is a congruence generalising Arnol'd, Rokhlin, Mishachev, Zvonilov and Mikhalkin 's previous results. This congruence is obtained with a canonical map defined on homology groups of dimension half the dimension of the manifold with coefficients in $Z/lZ$, with values in $Z/2lZ$.

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Jean-Yves Welschinger. 1999-06-14. Orientations complexes des J-courbes reelles. https://arxiv.org/abs/math/9906090

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