TITLE: Exercises in Hodge Theory
QUESTION [20 upvotes]: I was wondering: is there a good place to find exercises in Hodge theory? Mostly computations and proving small (preferably nifty) theorems, is what I have in mind.  Something roughly like the Problems in Group Theory book by Dixon, or many other such problem books.
The biggest difficulty I'm having is that I don't have an adequate number of problems to do, as Griffiths & Harris's Principles has none, and Voisin's otherwise excellent books have only a couple of exercises each chapter, and I've not been able to find a book or paper on the arxiv that does.

REPLY [5 votes]: There are at least 20 exercises on Hodge theory of Kahler manifolds in Huybrechts book "Complex geometry", section 3, maybe this is what you are looking for. In general this book has a lot of exercises and seem to be well written.