Is there any "standard" reference for (rational) singularities on algebraic surfaces? I'm aware of Artin's papers and the one of Brieskorn (*Rationale Singularitäten komplexer Flächen*), but they seem pretty dense to me. I'm looking for a more extensive treatment using consistent notation, ideally (chapters of) a book.



General Reference for surface singularities
You could have a look at the nice textbook by S. Ishii *[Introduction to Singularities](http://www.springer.com/us/book/9784431550808)*. Chapter 7 is devoted to normal two-dimensional singularities, with an extensive treatment of rational ones.


You might be also interested in T. Okuma's book *[Plurigenera of Surface Singularities](https://books.google.it/books/about/Plurigenera_of_Surface_Singularities.html?id=MK4rAAAAYAAJ&redir_esc=y)*. Many topics on rational singularities are discussed in Chapter 2.


