p-adic étale cohomology and crystalline cohomology in the semi-stable reduction case

1999 ◽  
Vol 137 (2) ◽  
pp. 233-411 ◽  
Author(s):  
Takeshi Tsuji
Keyword(s):  
Crystalline Cohomology ◽  
Etale Cohomology ◽  
Étale Cohomology ◽  
Stable Reduction ◽  
Reduction Case

scholarly journals Crystalline Cohomology of Towers of Curves

2018 ◽  
Vol 2020 (21) ◽  
pp. 7454-7488
Author(s):  
Jan Vonk
Keyword(s):  
Modular Curves ◽  
De Rham Cohomology ◽  
Crystalline Cohomology ◽  
Etale Cohomology ◽  
Étale Cohomology ◽  
De Rham ◽  
Integral Structures

Abstract We investigate the geometry of finite maps and correspondences between curves, and construct canonical trace and pullback maps between Hyodo–Kato integral structures on de Rham cohomology of curves, which are functorial for finite morphisms of the generic fibres. This leads to a crystalline version of the étale cohomology of towers of modular curves considered by Hida and Ohta, whose ordinary part satisfies $\Lambda $-adic control and Eichler–Shimura theorems.

Etale Cohomology of Rigid Spaces

2004 ◽  
pp. 239-258
Author(s):  
Jean Fresnel ◽  
Marius van der Put
Keyword(s):  
Etale Cohomology ◽  
Étale Cohomology
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