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Talk:Moduli stack of elliptic curves

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Todo

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Characteristic 0

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  • Add compactification + line bundles over compactification + modular forms as modular functions extending to the compactification

Universal elliptic curve

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  • Page 16, show isomorphism of semidirect product as a matrix group
  • Then give the induced action of this new matrix group on C \times h

Construction in general / over Spec(Z)

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  • Need Artin's criterion article to be updated.
  • Starting at page 59 of pdf of Deligne Rappoport gives construction using Artin's criterion - http://smtp.math.uni-bonn.de/ag/alggeom/preprints/Lesschemas.pdf
  • Definition of is given on pdf page 54
  • scheme of curves - pdf page 18
  • generalized scheme of elliptic curves - pdf page 36 definition 1.12

Additional references

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