A compact complex surface without divisors
Shafarevich's example of a very general two-dimensional complex torus with no nonzero divisors.
Some stuff that I find interesting. In some sense I write this for myself, but I hope that it will be useful to others as well. This being said there might be some mistakes, and I would be grateful for any comments or corrections. You can reach me at grisha.taroian@mail.utoronto.ca, or leave a comment on the post itself (if you are logged in with a GitHub account).