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.
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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)
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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
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DOI: https://doi.org/10.1007/978-3-319-04417-0_7
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