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Nov 7, 2016 at 16:04 comment added Tabes Bridges Ah, I see the context now. The perils of pre-coffee commenting...
Nov 6, 2016 at 21:06 comment added R. van Dobben de Bruyn @TabesBridges: the OP is asking for an "Arakelov-theoretic" analogue of higher cohomology, with the suitable conditions at the real and complex places. This is not covered by standard sheaf cohomology (even the definition of $H^0$ is ad hoc; it is not even a vector space).
Nov 6, 2016 at 16:03 comment added Tabes Bridges It sounds like you're just asking about sheaf cohomology, which is covered in standard sources on modern algebraic geometry, e.g. Hartshorne, Vakil, Liu.
Nov 6, 2016 at 10:51 history asked Anton Hilado CC BY-SA 3.0