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Results tagged with moduli-spaces
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user 4344
Given a concrete category C, with objects denoted Obj(C), and an equivalence relation ~ on Obj(C) given by morphisms in C. The moduli set for Obj(C) is the set of equivalence classes with respect to ~; denoted Iso(C). When Iso(C) is an object in the category Top, then the moduli set is called a moduli space.
2
votes
Are the arithmetic genera of Cohen-Macaulay curves in a fixed homology class bounded?
EDIT: As Angelo mentions, the argument below has a problem in the case of non-reduced curves. I am not sure that an upper bound for the arithmetic genus is impossible to show, but certainly the lower …
- 5,137
16
votes
Accepted
Given a family of curves, when does there exist a fibered surface over Spec Z parametrizing ...
I suspect that even if you had a single curve over $\mathbb{F}_p$, you might not find a lift
to $\mathbb{Q}$. Below I sketch an argument that works under the assumption that $\mathcal{M}_g$ does not …
- 5,137