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Nov 6, 2016 at 15:50 vote accept user8329099
Nov 5, 2016 at 4:44 comment added Sándor Kovács It is useful for pretty much any functor to be representable.
Nov 4, 2016 at 21:12 comment added user8329099 @ndfc23: Thanks, I'll definitely look into FGA Explained.
Nov 4, 2016 at 21:04 answer added Piotr Achinger timeline score: 6
Nov 4, 2016 at 16:14 comment added nfdc23 Why were you studying that Chapter 8 if you hadn't been told about a reason why such things are useful? Anyway, look at the chapter (with many historical comments) on Picard schemes by Kleiman in the book "FGA Explained", and contemplate the meaning of Jacobians of smooth proper curves which may not have rational points and how one might relativize that for curves over a base (esp. when some fibers are not smooth). Mazur's work on torsion in elliptic curves over $\mathbf{Q}$ is a glorious application of the latter.
Nov 4, 2016 at 15:43 comment added Francesco Polizzi In general, representability is roughly speaking related to the existence of a moduli space for the deformation functor you are considering.
Nov 4, 2016 at 15:02 history edited user8329099
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Nov 4, 2016 at 14:57 review First posts
Nov 4, 2016 at 15:17
Nov 4, 2016 at 14:56 history asked user8329099 CC BY-SA 3.0