I'm trying to learn about D-modules for computing intersection cohomology but I'm having trouble coming up with explicit constructions of D-modules on projective varieties. Since this is an involved process, I'll split this up into multiple questions:

    1. How do I construct D-modules over complex projective space
    2. How do I construct D-modules over smooth projective varieties
    3. How can I use the constructions from (1) to find D-modules with
       geometric support on singular varieties?

My goal is to start looking at D-modules on Fermat curves
$$
\text{Proj}\left( \frac{\mathbb{C}[x,y,z]}{x^n + y^n - z^n} \right)
$$
and answer the question I raised [here][1]


  [1]: http://mathoverflow.net/questions/244810/where-should-i-look-for-computing-the-intersection-homology-of-projective-variet