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Dec 21, 2014 at 17:51 comment added Question Mark Thank you for your helpful comments. I'll look into this.
Dec 21, 2014 at 10:52 comment added Ariyan Javanpeykar On the other hand, the implications a implies b and a implies e of Thm 10.2.1 hold in general (as you probably already know). There might be a way to circumvent the compactification results and to prove that a group scheme not containing any copy of G_a or G_m is "bounded" directly (but I doubt it...).
Dec 21, 2014 at 10:50 comment added Ariyan Javanpeykar If I'm not mistaken, the necessary "compactification" resuts used in Thm 10.2.1 are now known for not necessarily commutative group schemes by the work of Gabber. Try googling Gabber's compactification theorem to see if you get something useful.
Dec 17, 2014 at 7:00 history asked Question Mark CC BY-SA 3.0