scholarly journals On Drinfeld's universal special formal module

2009 ◽  
Vol 129 (5) ◽  
pp. 1122-1135
Author(s):  
Bingyong Xie
Keyword(s):  
2015 ◽  
pp. 255-263
Author(s):  
Mikhail A. Ivanov ◽  
Sergei V. Vostokov
Keyword(s):  

2013 ◽  
Vol 149 (5) ◽  
pp. 793-839 ◽  
Author(s):  
Jan Kohlhaase

AbstractWe study the affine formal algebra$R$of the Lubin–Tate deformation space as a module over two different rings. One is the completed group ring of the automorphism group$\Gamma $of the formal module of the deformation problem, the other one is the spherical Hecke algebra of a general linear group. In the most basic case of height two and ground field$\mathbb {Q}_p$, our structure results include a flatness assertion for$R$over the spherical Hecke algebra and allow us to compute the continuous (co)homology of$\Gamma $with coefficients in $R$.


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