Description

Book Synopsis
Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. This book aims to show that every smooth p-adic analytic space is provided with a sheaf of functions that includes analytic ones and satisfies a uniqueness property. It is aimed at graduate students and mathematicians.

Table of Contents
*Frontmatter, pg. i*Contents, pg. v*Introduction, pg. 1*1. Naive Analytic Functions and Formulation of the Main Result, pg. 7*2. Etale Neighborhoods of a Point in a Smooth Analytic Space, pg. 23*3. Properties of Strictly Poly-stable and Marked Formal Schemes, pg. 39*4. Properties of the Sheaves OMEGA1.dx/dOX, pg. 55*5. Isocrystals, pg. 71*6. F-isocrystals, pg. 87*7. Construction of the Sheaves SlambdaX, pg. 95*8. Properties of the sheaves SlambdaX, pg. 113*9. Integration and Parallel Transport along a Path, pg. 131*References, pg. 149*Index of Notation, pg. 153*Index of Terminology, pg. 155

Integration of Oneforms on Padic Analytic Spaces

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    A Paperback by Vladimir G. Berkovich

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      View other formats and editions of Integration of Oneforms on Padic Analytic Spaces by Vladimir G. Berkovich

      Publisher: Princeton University Press
      Publication Date: Publication Date: 12/19/2006 12:00:00 AM
      ISBN13: 9780691128627, 978-0691128627
      ISBN10: 0691128626

      Description

      Book Synopsis
      Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. This book aims to show that every smooth p-adic analytic space is provided with a sheaf of functions that includes analytic ones and satisfies a uniqueness property. It is aimed at graduate students and mathematicians.

      Table of Contents
      *Frontmatter, pg. i*Contents, pg. v*Introduction, pg. 1*1. Naive Analytic Functions and Formulation of the Main Result, pg. 7*2. Etale Neighborhoods of a Point in a Smooth Analytic Space, pg. 23*3. Properties of Strictly Poly-stable and Marked Formal Schemes, pg. 39*4. Properties of the Sheaves OMEGA1.dx/dOX, pg. 55*5. Isocrystals, pg. 71*6. F-isocrystals, pg. 87*7. Construction of the Sheaves SlambdaX, pg. 95*8. Properties of the sheaves SlambdaX, pg. 113*9. Integration and Parallel Transport along a Path, pg. 131*References, pg. 149*Index of Notation, pg. 153*Index of Terminology, pg. 155

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