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.



Exercises in Hodge Theory
One suggestion: "Period mappings and Period Domains", by Carlson, Muller-Stach, and Peters, in the Cambridge studies in advanced mathematics series. It's a very nice read, and each chapter comes with examples and problems.


