How is The Number of Self-Intersections of a Compact Connected Riemann Surface Embedded in a Complex Surface defined?

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Complex Algebraic Foliations, Book by A. Lins Neto and Bruno Scárdua, Chapter 3, Page 82.

Let $M$ be a Complex Manifold of complex dimension two (i.e., $M$ is a Complex Surface).

Let $S$ be a Compact Connected Riemann Surface (the complex dimension of $S$ is one) such that $S$ is Embedded in the complex manifold $M$.

We aim to define the Number of Self-Intersections of the Riemann Surface $S$.

I have some questions:

  1. What do they exactly mean by saying "Let $\widetilde{S}$ be a $C^{\infty}$ deformation of $S$"?
  2. Does "$\widetilde{S}$ cuts $S$ transversely" mean that for every point $p \in S \cap \widetilde{S}$ we have $T_p(S) + T_p(\widetilde{S}) = T_p(M)$?
  3. what is the "isotopy of $S$"?
  4. Why is $S \cap \widetilde{S}$ finite?
  5. what do they mean by saying "a basis $\{u_1,u_2,v_1,v_2\}$ is positive in $T_p(M)$?

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