Some results of algebraic geometry over Henselian rank one valued fields

DOI10.1007/s00029-016-0245-yzbMath1433.14051arXiv1410.3280OpenAlexW2435100543WikidataQ59609934 ScholiaQ59609934MaRDI QIDQ508431

Krzysztof Jan Nowak

Publication date: 7 February 2017

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3280

zbMATH Keywords

Łojasiewicz inequalityNullstellensatzCartan's theorems A and Bclosedness theoremcurve selectiondescent property for blowupshereditarily rational functionsregulous functions and sets

Mathematics Subject Classification ID

Other nonalgebraically closed ground fields in algebraic geometry (14G27) Semialgebraic sets and related spaces (14P10) Non-Archimedean valued fields (12J25) Quantifier elimination, model completeness, and related topics (03C10)

Related Items (9)

Maximal ideals of regulous functions are not finitely generated ⋮ Piecewise-regular maps ⋮ A version of Cartan’s Theorem A for coherent sheaves on real affine varieties ⋮ Linear equations on real algebraic surfaces ⋮ A closedness theorem and applications in geometry of rational points over Henselian valued fields ⋮ Approximation of maps into spheres by regulous maps ⋮ Curve-rational functions ⋮ Blown-up Čech cohomology and Cartan’s Theorem B on real algebraic varieties ⋮ A closedness theorem over Henselian fields with analytic structure and its applications

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