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$p$-Adic Hodge Theory for Artin Stacks
 
Dmitry Kubrak Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France
Artem Prikhodko National Research University, Moscow, Russia and Center for Advanced Studies, Moscow, Russia
Softcover ISBN:  978-1-4704-7136-1
Product Code:  MEMO/304/1528
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: January 20, 2025
eBook ISBN:  978-1-4704-8007-3
Product Code:  MEMO/304/1528.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7136-1
eBook: ISBN:  978-1-4704-8007-3
Product Code:  MEMO/304/1528.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Not yet published - Preorder Now!
Expected availability date: January 20, 2025
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$p$-Adic Hodge Theory for Artin Stacks
Dmitry Kubrak Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France
Artem Prikhodko National Research University, Moscow, Russia and Center for Advanced Studies, Moscow, Russia
Softcover ISBN:  978-1-4704-7136-1
Product Code:  MEMO/304/1528
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: January 20, 2025
eBook ISBN:  978-1-4704-8007-3
Product Code:  MEMO/304/1528.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7136-1
eBook ISBN:  978-1-4704-8007-3
Product Code:  MEMO/304/1528.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Not yet published - Preorder Now!
Expected availability date: January 20, 2025
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 3042024; 174 pp
    MSC: Primary 14; Secondary 57; 20

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Hodge-proper stacks
    • 3. De Rham, crystalline, and prismatic cohomology of stacks
    • 4. Étale sheaves on geometric stacks
    • 5. Étale cohomology of stacks
    • 6. Local acyclicity of some quotient stacks
    • 7. Applications
    • A. Geometric stacks and quasi-coherent sheaves
    • B. Fontaine’s infinitesimal period ring ${A_{\mathrm {inf}}}$
    • C. Totalizations and coconnectivity
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 3042024; 174 pp
MSC: Primary 14; Secondary 57; 20

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Hodge-proper stacks
  • 3. De Rham, crystalline, and prismatic cohomology of stacks
  • 4. Étale sheaves on geometric stacks
  • 5. Étale cohomology of stacks
  • 6. Local acyclicity of some quotient stacks
  • 7. Applications
  • A. Geometric stacks and quasi-coherent sheaves
  • B. Fontaine’s infinitesimal period ring ${A_{\mathrm {inf}}}$
  • C. Totalizations and coconnectivity
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.