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Jun 16, 2020 at 23:59 comment added Simon Lentner That was fast and exactly what I wanted to know. I appreachiate it a lot, thank you!
Jun 16, 2020 at 22:17 comment added Sam Gunningham Whatever kind of sheaf theory you have in mind, the expression Ext(1,1) is almost tautologically the cohomology of the variety (with "trivial" coefficients). So for coherent sheaves you get coherent cohomology (of the structure sheaf), for etale l-adic sheaves you get etale cohomology, for D modules you get de rham cohomology, ditto for equivariant versions...
Jun 16, 2020 at 15:31 comment added Angelo What kind of sheaves do you have in mind? What's the "trivial" sheaf?
Jun 16, 2020 at 14:31 history asked Simon Lentner CC BY-SA 4.0