Remarks on existentially closed fields and diophantine equations

zbMath0545.12012MaRDI QIDQ797634

Paulo Ribenboim

Publication date: 1984

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1984__71__229_0

zbMATH Keywords

existentially closedpurely transcendental extensionHenselian valued extension fieldhyperelliptic equation for polynomialsnon-Henselian valued field

Mathematics Subject Classification ID

Equations in general fields (12E12) Higher degree equations; Fermat's equation (11D41) Transcendental field extensions (12F20) Model theory of fields (12L12) Valued fields (12J10)

Related Items (2)

The Zariski-Riemann Space of Valuation Rings ⋮ Thomas' conjecture over function fields

Cites Work

• Unnamed Item
• On the completion of a valuation ring
• Catalan's Equation in K (t)
• On Fermats Equation in C(t)

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