The Zariski–Riemann space of valuation domains associated to pseudo-convergent sequences

DOI10.1090/tran/8185zbMath1454.12004arXiv1809.09539OpenAlexW2893424092MaRDI QIDQ5130411

Giulio Peruginelli, Dario Spirito

Publication date: 4 November 2020

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

Full work available at URL: https://arxiv.org/abs/1809.09539

zbMATH Keywords

constructible topologyZariski-Riemann spaceresidually transcendental extensionpseudolimitpseudo-convergent sequenceextension of valuation

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) General valuation theory for fields (12J20)

Related Items (5)

The polynomial closure is not topological ⋮ Extending valuations to the field of rational functions using pseudo-monotone sequences ⋮ Valuations on \(K[x\) approaching a fixed irreducible polynomial] ⋮ Topological properties of subsets of the Zariski space ⋮ Metrizability of spaces of valuation domains associated to pseudo-convergent sequences

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