Lectures on Formal and Rigid Geometry

• Main Author: Bosch, Siegfried (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Lecture Notes in Mathematics, 2105
• Subjects: Mathematics.; Algebraic geometry.; Number theory.; Mathematics, general.; Algebraic Geometry.; Number Theory.

A first version of this work appeared in 2005 as a Preprint of the Collaborative Research Center "Geometrical Structures in Mathematics" at the University of Münster. Its aim was to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid g...

Table of Contents:

• Classical Rigid Geometry
• Tate Algebras
• Affinoid Algebras and their Associated Spaces
• Affinoid Functions
• Towards the Notion of Rigid Spaces
• Coherent Sheaves on Rigid Spaces
• Formal Geometry
• Adic Rings and their Associated Formal Schemes
• Raynaud's View on Rigid Spaces
• More Advanced Stuff
• Appendix
• References
• Index.