The Nullstellensatz over \(\mathfrak p\)-adically closed fields

DOI10.2969/jmsj/03230425zbMath0446.12016OpenAlexW2007713024MaRDI QIDQ1145729

Peter Roquette, Moshe Jarden

Publication date: 1980

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03230425

zbMATH Keywords

finite ramificationNullstellensatz over p-adically closed fieldsRiemann space over formally p-adic field

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Non-Archimedean function theory (30G06) Valued fields (12J10) Topological fields (12J99)

Related Items (17)

\(p\)-adic ideals of \(p\)-rank \(d\) and the \(p\)-adic Nullstellensatz. ⋮ Pseudo algebraically closed fields over rings ⋮ Places of algebraic function fields in arbitrary characteristic ⋮ Henselian residually \(p\)-adically closed fields ⋮ Density of composite places in function fields and applications to real holomorphy rings ⋮ Towards a general theory of formally p-adic fields ⋮ Approximation properties and existential completeness for ring morphisms ⋮ Galois groups and complete domains ⋮ Rumely’s local global principle for algebraic 𝑃𝒮𝒞 fields over rings ⋮ Unnamed Item ⋮ Every place admits local uniformization in a finite extension of the function field ⋮ Galois stratification over Frobenius fields ⋮ Rumely's local global principle for weakly P\(\mathcal S\)C fields over holomorphy domains ⋮ On a real places of a field and their holomorphy ring ⋮ On some classes of Hilbertian fields ⋮ Galois stratification over \(e\)-fold ordered Frobenius fields ⋮ The inverse Galois problem over formal power series fields

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