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Preprint Number 2001
2001. Boris Zilber and Chris Daw Canonical models of modular curves and the Galois action on CM-points E-mail: Submission date: 11 June 2021 Abstract: We use the theory of canonical models of Shimura varieties to describe the projective limit of the curves Y(N), all N, and its automorphism group. In particular we prove that the Galois group of Q(CM) over Q is an extension of a certain abelian group by a 2-element group, where Q(CM) stands for the the extension of Q by all the CM-points on all the curves Y(N). Mathematics Subject Classification: 11G18, 03C45 Keywords and phrases: |
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