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Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Feb 10, 2010 at 20:28 comment added Emerton Yes, I think so. Grothendieck's standard conjectures incorporate certain "positivity" results about cohomology and cup product which suffice to imply RH. You could look at Serre's letter to Weil, in which he proves a version of RH for endomorphisms of a complex projective variety via Hodge theory, to get a sense of how such things might work. And then Kleiman's article gives the details, I believe.
Feb 10, 2010 at 18:44 history answered John McCarthy CC BY-SA 2.5