دانلود کتاب Integration of One-forms on P-adic Analytic Spaces. (AM-162)

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Introduction\n1. Naive Analytic Functions and Formulation of the Main Result\n 1.1 Preliminary remarks and notation\n 1.2 The sheaf of naive analytic functions\n 1.3 Dx-modules and Dx-modules\n 1.4 Logarithms\n 1.5 Logarithmic Poincare lemma\n 1.6 Formulation of the main results\n2. Étale Neighborhoods of a Point in a Smooth Analytic Space\n 2.1 Etale neighborhoods of a point with s(x) = dim(X)\n 2.2 The local structure of a smooth analytic curve\n 2.3 Etale neighborhoods of a point with s(x) < dim(X)\n 2.4 Basic curves\n3. Properties of Strictly Poly-stable and Marked Formal Schemes\n 3.1 Strictly poly-stable formal schemes\n 3.2 Open neighborhoods of the generic point of an irreducible component\n 3.3 A property of strata\n 3.4 A tubular neighborhood of the diagonal of a stratum closure\n 3.5 The same for proper marked formal schemes\n4. Properties of the Sheaves Ox1cl/dOx\n 4.1 Analytic curve connectedness of closed analytic spaces\n 4.2 The sheaves Ocx, O1x, and Ovx\n 4.3 Structure of the sheaves Olclx/dOx for smooth analytic curves\n 4.4 Injectivity of the homomorphism JLog : Ovx ⊗zCx →Ω1clx/dOx\n 4.5 A subsheaf Ψx ⊂ Ωxcl/dOx and a subspace Vx,x ⊂ Ω1clx,x/dOx,x\n5. Isocrystals\n 5.1 Wide germs of analytic spaces and of formal schemes\n 5.2 D-modules on smooth strictly k-affinoid germs and isocrystals\n 5.3 A construction of isocrystals\n 5.4 The filtered isocrystals Eb and the shuffle algebras\n 5.5 Unipotent isocrystals Ei(X, ℨ)\n6. F-isocrystals\n 6.1 Frobenius liftings\n 6.2 A Frobenius structure on the isocrystals Ei(X, ℨ)\n 6.3 A uniqueness property of certain F-isocrystals\n 6.4 Structure of a commutative filtered Db-algebra on E(Xt ℨ)\n 6.5 Filtered F-isocrystals EK(X, ℨ) and ℱλ(X,ℨ)\n7. Construction of the Sheaves SλX\n 7.1 Induction hypotheses\n 7.2 Split one-forms\n 7.3 Marked and weakly marked one-forms\n 7.4 Construction of a primitive of a weakly marked one-form\n 7.5 Construction of the Dx-modules Sλ,n+1,X\n 7.6 End of the proof\n8. Properties of the sheaves SλX\n 8.1 Filtered D(x,y)-algebras ℇλ(X, Y) for germs with good reduction\n 8.2 Filtered Dxn -algebras E?(X) for proper marked formal schemes\n 8.3 A filtered DOX,x-subalgebra ℇλX,x ⊂ Sx and the space Vx,x\n 8.4 More uniqueness properties\n 8.5 A filtered Dx-subalgebra Sx ⊂ Sx and the sheaf Ψx\n9. Integration and Parallel Transport along a Path\n 9.1 Integration of closed one-forms along a path\n 9.2 Nontrivial dependence on the homotopy class of a path\n 9.3 Locally unipotent and quasi-unipotent Dx-modules\n 9.4 Parallel transport along a path\n 9.5 Parallel transport along an étale path\nReferences\nIndex of Notation\nIndex of Terminology