Supplementing advanced material in Griffiths-Harris

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I am looking for literature to supplement the treatment in Griffiths-Harris of the following topics:

Chapter 3

  • $\S 1$ on Distributions and currents. This material is also briefly discussed in Demailly's book, but I wanted to see a more detailed exposition of smoothing of currents.
  • $\S 2$ on Applications of currents: LeLong numbers, Levi extension theorems and proper mapping theorems. These topics are covered in Demailly's book, but I was also looking for a less terse exposition.
  • $\S 4$ on Fixed-Point and Residue formulas. I am not even aware of any other textbook exposition of these results.

Chapter 5

  • $\S 1$ and $\S 2$ on Residues and their applications. There is abundant literature on multidimensional residues, but mostly with complex-analytic applications in mind, while I want to find the exposition geared towards geometry, just like Griffiths-Harris but hopefully less terse.

I would also be fine with on-line notes on these topics.