A Song About Computing Sheaf Cohomology with Cech Covers

Cech Covers (click the link to listen to us). I wrote this song with my beloved old room mate Christian Gorski in my last year of grad school while I was wrapping up my thesis. For weeks, I was doing nothing but computing etale sheaf cohomologies of ramified covers of the projective plane. I would decompose sheaves on these curves by cutting around the neighborhood of ramification point (the…