科研之友
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摘要
In this note we compute the (uni)versal deformation of two types of mod 3 Galois representations (rho) over bar : GL((Q(3)) over bar /Q(3)) -> GL(2)((F-3) over bar). In the cases considered the (uni)versal ring is obstructed. Our main result is that the ring is still an integral domain. The result has consequences for the p-adic local Lang lands correspondence: By work of Colmez and Kisin it allows one to deduce that benign crystalline points are Zariski dense in the universal space for p = 3. Thus the p-adic local Lang lands correspondence [4] as well as the result [6] have no longer any exceptional cases for p = 3.
- 出版日期2010
