Timeline for Examples of the moduli space of X giving facts about a certain X
Current License: CC BY-SA 2.5
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| May 28, 2010 at 1:05 | comment | added | BCnrd | The real test is moduli space telling us something couldn't see without it. It is easy to express transitivity of ${\rm{PGL}}_n$-action on linear subspaces of a fixed dimension in projective space without knowing anything about moduli spaces. Likewise, the quirky Aut-groups of CM elliptic curves are well-understood without mention of moduli. Nifty examples: (1) expectation of density of some locus in a moduli space motivating use of deformation theory in proofs (even if logically doesn't require a global moduli space), (2) cohomology of moduli space used for arithmetic of modular forms... | |
| May 27, 2010 at 7:54 | history | answered | Charles Matthews | CC BY-SA 2.5 |