A global Nullstellensatz for ideals of Denjoy-Carleman functions

DOI10.1090/proc/12847zbMath1345.14050arXiv1412.4461OpenAlexW1848678061MaRDI QIDQ2790922

Andreea C. Nicoara, Francesca Acquistapace, Fabrizio Broglia

Publication date: 8 March 2016

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

Full work available at URL: https://arxiv.org/abs/1412.4461

zbMATH Keywords

real Nullstellensatzquasianalytic classes of functionsLojasiewicz radical

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) (C^infty)-functions, quasi-analytic functions (26E10) Real algebraic and real-analytic geometry (14P99) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Cites Work

• Unnamed Item
• Resolution of singularities in Denjoy-Carleman classes
• A Nullstellensatz for Łojasiewicz ideals
• On quasianalytic local rings
• On Hilbert's 17th problem and Pfister's multiplicative formulae for the ring of real analytic functions
• Arc-quasianalytic functions

This page was built for publication: A global Nullstellensatz for ideals of Denjoy-Carleman functions