Adic spaces

Fuente: arXiv

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Autore principale:	Hübner, Katharina
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Number Theory 14G22, 14G45
Accesso online:	Acceder al recurso
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_version_	1866910442240081920
author	Hübner, Katharina
author_facet	Hübner, Katharina
contents	These lecture notes are based on the second course in a series of lectures at the Spring school "Non-archimedean geometry and Eigenvarieties" in March 2023 in Heidelberg. The objective of the first three courses was to give an introduction to the theory of adic spaces. Building up on the theory of Huber pairs presented in John Bergdall's lecture we explain the construction of adic spaces. We study some important classes of adic spaces such as rigid analytic spaces and formal schemes and show the connections between them. In the course of the lecture we will illustrate the respective concepts with the fundamental examples of the open and closed disc and the affine line.
format	Preprint
id	arxiv_https___arxiv_org_abs_2405_06435
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Adic spaces Hübner, Katharina Number Theory 14G22, 14G45 These lecture notes are based on the second course in a series of lectures at the Spring school "Non-archimedean geometry and Eigenvarieties" in March 2023 in Heidelberg. The objective of the first three courses was to give an introduction to the theory of adic spaces. Building up on the theory of Huber pairs presented in John Bergdall's lecture we explain the construction of adic spaces. We study some important classes of adic spaces such as rigid analytic spaces and formal schemes and show the connections between them. In the course of the lecture we will illustrate the respective concepts with the fundamental examples of the open and closed disc and the affine line.
title	Adic spaces
topic	Number Theory 14G22, 14G45
url	https://arxiv.org/abs/2405.06435

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