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Jun 1, 2016 at 5:53 comment added Ben McKay ok, fixed. This is only going to help you at a generic point. For points where $f$ does not have full rank, the story is quite different.
Jun 1, 2016 at 5:52 history edited Ben McKay CC BY-SA 3.0
fixed error
May 31, 2016 at 23:24 comment added And Rub I did not understand your notations $y_{i}$, these are coordonates on $Y$? Here we are in the case where $Y$ is a 1-dimesnional complex manifold,i.e. a curve and $X$ is a complex fibrated surface.
May 31, 2016 at 18:38 vote accept And Rub
May 31, 2016 at 18:28 history edited Ben McKay CC BY-SA 3.0
more detail
May 31, 2016 at 18:15 comment added And Rub can you give me more explicit your answer, how all this looks in coordonates? Thank you for previous answer .
May 31, 2016 at 18:06 history answered Ben McKay CC BY-SA 3.0