I am looking for a book (or article, or notes...) explaining details about the link between integral points on varieties defined as complement of certain divisors and integral solutions to the equation(s) defining the divisor itself.
Namely, if I have a projective space defined over a number field and a divisor defined on it by a polynomial, I can define integral points on the complement of such divisor (quasi-S-integral points, following Serre).
I know I could do (and I have done) the work by myself, but I am pretty sure that an expert review could give me examples, insights and references I am missing.
Thanks!