Non-archimedean analytification of algebraic spaces

DOI10.1090/S1056-3911-09-00497-4zbMath1177.14048arXiv0706.3441OpenAlexW2963008267MaRDI QIDQ3182068

Michael Temkin, Brian Conrad

Publication date: 2 October 2009

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.3441

zbMATH Keywords

analytificationalgebraic spacesétale quotientrigid geometry, Berkovich spaces

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Rigid analytic geometry (14G22) Generalizations (algebraic spaces, stacks) (14A20)

Related Items

Descent for nonarchimedean analytic spaces, Inseparable local uniformization, Higher analytic stacks and GAGA theorems, Tropical geometry of moduli spaces of weighted stable curves, The local-global principle for integral points on stacky curves, Every tamely ramified form of an open polydisc is trivial, GAGA theorems, Quotients of admissible formal schemes and adic spaces by finite groups, Motivic zeta functions of degenerating Calabi-Yau varieties, \(B _{\text{Sen}}\) via distributions on weight space, Non-Archimedean geometry of Artin fans, Prüfer algebraic spaces, Affine schemes and topological closures in the Zariski-Riemann space of valuation rings, Tamely ramified forms of closed polydisks and laces, A non-Archimedean analogue of Teichmüller space and its tropicalization, CM liftings of surfaces over finite fields and their applications to the Tate conjecture, Factorization statistics and bug-eyed configuration spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable reduction and uniformization of abelian varieties. II
• Relative ampleness in rigid geometry
• Modular curves and rigid-analytic spaces
• Irreducible components of rigid spaces
• Formal and rigid geometry. I: Rigid spaces
• Formal and rigid geometry. II: Flattening techniques
• Étale cohomology for non-Archimedean analytic spaces
• On local properties of non-Archimedean analytic spaces
• Foundations of rigid geometry. I
• On local properties of non-Archimedean analytic spaces. II
• Algebraization of formal moduli. II: Existence of modifications
• Der Endlichkeitssatz für eigentliche Abbildungen in der nichtarchimedischen Funktionentheorie
• Algebraic spaces
• Ausgezeichnete Ringe in der nichtarchimedischen analytischen Geometrie.