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Jan 5, 2011 at 19:18 answer added S. Carnahan timeline score: 28
Jan 4, 2011 at 19:24 comment added Pete L. Clark I agree with Emerton: this question is certainly of research level. The problem is that I think it is easy to give a three word answer --"generalized elliptic curves" -- but to do much better, I think one has to point to rather long, intricate papers, as I have in my answer below.
Jan 4, 2011 at 19:15 answer added Pete L. Clark timeline score: 18
Jan 4, 2011 at 19:14 comment added Emerton I think this is a perfectly good question for MO. As Barinder writes, the cusps classify generalized elliptic curves with level structure. This is worked out in Deligne--Rapoport (and I don't know of any other reference, although a more recent one may exist).
Jan 4, 2011 at 19:08 comment added Barinder Banwait They correspond to so-called "generalised elliptic curves"; I think the standard reference is Deligne-Rapoport.
Jan 4, 2011 at 18:51 comment added HJRW I'm no expert - but I'm not sure that this question is of the 'research level' for which MO is intended. It might be more appropriate on math.stackexchange.com.
Jan 4, 2011 at 18:40 history asked Chaney CC BY-SA 2.5