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Feb 26, 2014 at 17:56 comment added Qiaochu Yuan (And one has to say more about the relevance of these structures to the parameterization problem, which is what the point of view of moduli functors is all about. Of course for any set parameterizing any sort of thing I can decide to arbitrarily give it any structure I want, but the compatibility of this structure with the moduli problem makes it an interesting question to find such a structure, which is now uniquely determined, at least morally, by the Yoneda lemma.)
Feb 25, 2014 at 20:57 answer added David E Speyer timeline score: 9
Feb 25, 2014 at 20:50 answer added Qiaochu Yuan timeline score: 6
Feb 25, 2014 at 20:40 comment added Qiaochu Yuan Three of these examples are structures, not properties. And $M_g$ is a stack, not just a variety.
Feb 25, 2014 at 20:30 history asked jemmy.bruce CC BY-SA 3.0