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词条 Deformation ring
释义

  1. References

In mathematics, a deformation ring is a ring that controls liftings of a representation of a Galois group from a finite field to a local field. In particular for any such lifting problem there is often a universal deformation ring that classifies all such liftings, and whose spectrum is the universal deformation space.

A key step in Wiles's proof of the modularity theorem was to study the relation between universal deformation rings and Hecke algebra.

References

  • {{Citation | editor1-last=Cornell | editor1-first=Gary | editor2-last=Silverman | editor2-first=Joseph H. | editor2-link=Joseph H. Silverman | editor3-last=Stevens | editor3-first=Glenn | title=Modular forms and Fermat's last theorem | url=https://books.google.com/books?id=Va-quzVwtMsC | publisher=Springer-Verlag | location=Berlin, New York | isbn=978-0-387-94609-2 | mr=1638473 | year=1997}}
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1 : Number theory

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