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May 24, 2019 at 7:51 comment added Ali Taghavi However your argument assume that $S$ is compact otherwise we can not speak about a finite $d$. am i right? it is possible an immersed 9not embedded) holomorphic curve has infinite number of holes, Yes? moreover you assume that $S$ never intersect a singularity. So what about if we allow $S$ to intersect some singularities but at regular points the intersection would be transversal?
May 24, 2019 at 7:49 comment added Ali Taghavi math.stackexchange.com/questions/116040/…
May 24, 2019 at 7:48 comment added Ali Taghavi Thank you again for your very interesting answer. i confess that it was difficult for me to understand the details of your great answer. I need to more effort for a complete understanding but the following two links help me to get the sketch of your proof. or example this link help me to see $c_1(F)\leq 1$ qcpages.qc.cuny.edu/~zakeri/papers/SHFC_zak.pdf and this MSE post help me to see the reason of "$3$" in "$3d$" in the left part of your formula (1)
May 24, 2019 at 7:43 vote accept Ali Taghavi
May 6, 2019 at 16:26 comment added Dmitri Panov Sure, Ali, please ask if you want to clarify something
May 5, 2019 at 18:27 comment added Ali Taghavi Thank you very much for your answer. I try to understand its details.
May 5, 2019 at 1:04 history edited Dmitri Panov CC BY-SA 4.0
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May 5, 2019 at 0:53 history answered Dmitri Panov CC BY-SA 4.0