MathOverflow Asked by Ali Taghavi on December 17, 2020
Is there a $2$ dimensional holomorphic manifold $M$ with a closed $2$ dimensional real submanifold $A$ of $M$ such that for every singular holomorphic foliation of $M$, all leaf with non trivial holonomy must necessarilly intersect $A$.
Two motivations for this questions are:
1)The minimal set problem in the theory of $SHF$C of $mathbb{C}P^2$
2)This $RG$ preprint "A complex Limit cycle Not Intersecting of the real plane"
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