ntroduction to Rigid Geometry

Chapter 1. Affinoid Algebras and Affinoid Spaces
	1.1. Non-archimedean fields
	1.2. Interlude: Banach K-algebras and modules
	1.3. Basic properties of Tate algebras
	1.4. Affinoid K-algebras
	1.5. Affinoid spaces and affinoid subdomains
	1.6. Tate's acyclicity theorem
Chapter 2. Rigid Analytic Spaces
	2.1. Grothendieck topology on affinoid spaces
	2.2. Rigid analytic spaces
	2.3. Rigid analytification
	2.4. Generalities on cohomology
	2.5. Cohomology of rigid spaces
	2.6. Kiehl's proper mapping theorem
	2.7. Rigid GAGA
Chapter 3. Formal Geometry
	3.1.  Formal schemes
	3.2. Admissible formal schemes
	3.3. Coherent sheaves on formal schemes
	3.4. Admissible formal blowing-up
	3.5. Rigid geometry via formal schemes
	3.6. Rigid points of admissible formal schemes
	3.7. Rigid generic fiber of a not necessarily admissible formal OK-scheme
	3.8. Permanence of good properties by formal integral models
Chapter 4. Uniformization of Rigid Analytic Curves
	4.1. Riemann-Roch Theorem for proper rigid curves
	4.2. Tate's uniformization of elliptic curves
	4.3. Mumford's analytic uniformization of curves of genus g2
	4.4. Trees and p-adic Schottky groups
	4.5. From trees to curves
	4.6. Uniqueness and Existence
Bibliography