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Jun 7, 2016 at 17:06 comment added Friedrich Knop @Ramac: I think of a global section of $S^*$ as a function on the total space of $S$ which is homogeneous of degree one on each fiber. Perhaps, I should have used a different notation for a vector bundle considered as a sheaf and a vector bundle considered as a variety.
Jun 7, 2016 at 15:52 comment added Raffaele C In my idea, $H^0(G,S^*)$ is the group of global sections of the "dual bundle" of $S$ over the whole Grassmanian. Here it seems that you compute a global map from $S$ to the base field. What is the relation?
Jun 4, 2016 at 7:24 history answered Friedrich Knop CC BY-SA 3.0