Some theorems about formal functions

DOI10.2977/prims/1195186927zbMath0456.14002OpenAlexW1973909168MaRDI QIDQ1150407

Gerd Faltings

Publication date: 1980

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195186927

zbMATH Keywords

algebraization of formal subschemesformal meromorphic functions

Mathematics Subject Classification ID

Compact analytic spaces (32J99) Relevant commutative algebra (14A05) Local deformation theory, Artin approximation, etc. (14B12) Formal neighborhoods in algebraic geometry (14B20)

Related Items (14)

THE LICHTENBAUM-HARTSHORNE THEOREM FOR GENERALIZED LOCAL COHOMOLOGY AND CONNECTEDNESS ⋮ On some local cohomology modules ⋮ Cohomological dimension of certain algebraic varieties ⋮ On the structure of \(S_2\)-ifications of complete local rings ⋮ Cofiniteness of Local Cohomology Modules ⋮ Finiteness of Relative REES Rings and Asymptotic Prime Divisors ⋮ Algebraization, transcendence, and \(D\)-group schemes ⋮ Connectedness of a variety generated by an order ideal on the punctured spectrum ⋮ Cohomological dimension, Lyubeznik numbers, and connectedness in mixed characteristic ⋮ An extension of a theorem of Hartshorne ⋮ On the vanishing of local cohomology modules ⋮ Independent elements, unmixedness theorems, and asymptotic prime divisors ⋮ Gröbner deformations, connectedness and cohomological dimension ⋮ Connectedness and Lyubeznik Numbers

Cites Work

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• Local cohomological dimension of algebraic varieties
• A connectedness theorem for projective varieties, with applications to intersections and singularities of mappings
• Formal functions and formal embeddings
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili

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