Description
Book SynopsisAmong 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
