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Creators/Authors contains: "Wang-Erickson, Carl"

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  1. ; ; (, Selecta Mathematica)
    Free, publicly-accessible full text available February 1, 2026
  2. ; ; (, Research in Number Theory)
    Full Text Available 
  3. ; ; (, Journal of the European Mathematical Society)
    Full Text Available 
  4. ; (, Advances in Mathematics)
    Full Text Available 
  5. ; (, Duke Mathematical Journal)
    Full Text Available 
  6. ; ; (, Journal of the European Mathematical Society)
    In the late 1990s, R. Coleman and R. Greenberg (independently) asked for a global property characterizing those p-ordinary cuspidal eigenforms whose associated Galois representation becomes decomposable upon restriction to a decomposition group at p. It is expected that such p-ordinary eigenforms are precisely those with complex multiplication. In this paper, we study Coleman-Greenberg's question using Galois deformation theory. In particular, for p-ordinary eigenforms which are congruent to one with complex multiplication, we prove that the conjectured answer follows from the p-indivisibility of a certain class group. 
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