IX. Faisceaux constructibles cohomologie d`une

 9f5025b 2017-03-15 15:35:39 +0100
Table des matières
0. Introduction 1
        1     
     1 ∼ 11    1 
    1  1    
          2
           𝐙   
1. Le sorite des faisceaux de torsion
 𝑛       𝑛      

2
Définition 1.1              
𝑛
𝑛   
Proposition 1.2               
𝑛
             (𝑖)   3
ass 𝑛⊂𝑝
𝑞𝑛 ∼ 𝑞
   ′       ′    ′  
 ∗      
  ′       ′     
∗            𝑞∗′ 
𝑛  𝑛
     𝑛 𝑛
 𝑛𝑛          4
𝑛∼
ass 𝑛⊂𝑝
𝑛∼
(𝑖)  𝑋         {𝑋𝑖→ 𝑋}      
     𝑢          

3
𝑛            
𝑖
𝑖
           𝑖 
   𝑖𝑖          
𝑛             
     ∗′
Définition 1.3              5
           𝛼 𝛼  𝛼
𝛼         
Proposition 1.4            
Définition 1.5              
Proposition 1.6          
   𝜉  
   ′     ′      ′∗′
   ′         
   ∗    
′  ′      6
          ′   
           𝜉 

4
          𝜉   
              𝜉
         𝜉    
   𝜉      1𝑛    
𝑖      𝑖   
2. Faisceaux constructibles
2.0. —           
𝑇           
 𝑇 
𝑠∈𝑆
‶
   𝑇          
         𝑇 𝑇 ′
𝑇 
          ′
          𝑖 
       𝑖       7
Lemme 2.1             
  ′   ″         
  ′ ″  ″     
      𝑇  𝑇        
             𝑇 
   𝑇            
         𝑇′𝑇   
      ′   
𝑠′′          

5
    𝑠         𝑠′′′
𝑠′//
𝑖𝑆′
𝑓//′
 𝑠′′      ′    𝑠′ 8
   𝑠′      
           𝑠′   
             ′
 ″ ″  ″      ″  
    𝑖1≤𝑖≤𝑛   𝑖    ″   
             ″ ′
          ′″   
         ″″ 
″              ″
𝑇𝑀″
𝑇 ″
𝑇𝐹″
         ″
𝑇     
          𝑇   
Lemme 2.2              
Définition 2.3            
       𝐼𝐼𝐼    
𝑖        𝑖      9
     (𝑖)
(𝑖) 𝐴              
         𝐴 𝑀        𝐴 
              𝐹   
      𝑛    𝑛 ≥ 0     
                 𝐴 