
We give necessary conditions in terms of defining
function for real algebraic hypersurface (possibly with singularities)
to contain nontrivial germs of complex hypersurfaces.
This result is useful in view of {\sl the one side extension} phenomenom
due to Trepeau.
Moreover, if a real hypersurface $S$ in $\bold C^2$ is
defined by a real polynomial of a sufficiently general form and if $S$
contains a nontrivial analytic disk, then, using the abobe result, we
show that $S$ must contain certain complex lines.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/158