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Feb 21, 2014 at 11:54 vote accept aglearner
Feb 21, 2014 at 11:43 comment added Alex Degtyarev Over $\mathbb{Q}$ this is just comparing the dimensions (the keyword being "Schubert calculus"). A lot about Grassmanians (including everything about your favorite one) is found here: David Eisenbud and Joe Harris, 3264 & All That: Intersection Theory in Algebraic Geometry
Feb 21, 2014 at 11:31 comment added aglearner Alex, I think your reasoning is correct. Could you give me a reference to some nice book that explains that tautological Chern classes generate $H^*$ of the Grassmanian?
Feb 21, 2014 at 11:29 comment added Alex Degtyarev Yes, sure. Actually, any $\mathbb{P}$ :)
Feb 21, 2014 at 11:27 comment added Qfwfq (you mean P^5, right?)
Feb 21, 2014 at 11:14 history answered Alex Degtyarev CC BY-SA 3.0