Abstract
Similarly as in arithmetic algebraic geometry, there is the notion of formal scheme models for rigid spaces. The theory of formal schemes is developed from scratch and basic properties are established.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
S. Bosch, Algebraic Geometry and Commutative Algebra. Universitext (Springer, London, 2013)
N. Bourbaki, Algèbre Commutative, Chap. I–IV (Masson, Paris, 1985)
A. Grothendieck, J.A. Dieudonné, Éléments de Géométrie Algébrique I. Grundlehren, Bd. 166 (Springer, Heidelberg, 1971)
M. Raynaud, L. Gruson, Critères de platitude et de projectivité. Invent. Math. 13, 1–89 (1971)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Bosch, S. (2014). Adic Rings and Their Associated Formal Schemes. In: Lectures on Formal and Rigid Geometry. Lecture Notes in Mathematics, vol 2105. Springer, Cham. https://doi.org/10.1007/978-3-319-04417-0_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-04417-0_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-04416-3
Online ISBN: 978-3-319-04417-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)