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Oct 5, 2012 at 21:09 comment added IMeasy Dear Sasha, this is an amazing answer, and very clear too. Thank you. Do you have general references to suggest on these topics?
Oct 5, 2012 at 15:26 comment added Sasha @MBeasy: I added a description of fibers to the answer.
Oct 5, 2012 at 15:25 history edited Sasha CC BY-SA 3.0
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Oct 5, 2012 at 12:59 vote accept IMeasy
Oct 5, 2012 at 12:59 comment added IMeasy OK thank you, great answer!this is now clear to me. And I guess that on the complement of the 14 dimensional orbit this map is 1:1. Can one see easily from this description what are the fibers of the map $P_X(T^+)\rightarrow P(\wedge^3V)$ over this orbit and over the grassmannian?
Oct 5, 2012 at 10:55 history answered Sasha CC BY-SA 3.0