On the 2002 paper “Dynamics of polynomial automorphisms of $\mathbb{C}^k$” by Guedj and Sibony

I desperately need to read the paper [1] before meeting a would-be supervisor, but with limited undergraduate knowledge that I have like Aluffi's Algebra and Churchill's Complex Analysis, not even one sentence of the paper is readable to me, so I even don't know what area of mathematics is it about!

What is the necessary prerequisite knowledge to be able to understand the mentioned paper and the best introductory books written about? Thank you!

[1]: Vincent Guedj, Nessim Sibony, Dynamics of polynomial automorphisms of $$\mathbb C^k$$, Arkiv för Matematik, Volume 40, Issue 2, (2002), pp 207–243. https://www.math.univ-toulouse.fr/~guedj/fichierspdf/Arkiv2002.pdf

• Just a heads up! Try your best with the links given in the answers but if you still end up understanding basically nothing from the paper then be honest with the advisor. Sometimes professors completely forget what undergraduates do and don't know (in general) and set unrealistic tasks. In my experience from undergrad and grad days a certain amount of faking it is fine and expected but it won't benefit you to overdo it if you're totally lost. Good luck :) – EBz Feb 16 '19 at 18:50