The ring of bounded polynomials on a semi-algebraic set

DOI10.1090/S0002-9947-2012-05443-2zbMath1279.14072arXiv1002.1870MaRDI QIDQ2841366

Daniel Plaumann, Claus Scheiderer

Publication date: 25 July 2013

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

Full work available at URL: https://arxiv.org/abs/1002.1870

zbMATH Keywords

divisorsemi-algebraic setpolynomial functionreal algebraic varietynormal varietybounded polynomial function

Mathematics Subject Classification ID

Real algebraic sets (14P05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Divisors, linear systems, invertible sheaves (14C20) Real algebraic and real-analytic geometry (14P99)

Related Items (6)

Algebra of bounded polynomials on a set Zariski closed at infinity cannot be finitely generated ⋮ How fast do polynomials grow on semialgebraic sets? ⋮ A Positivstellensatz for projective real varieties ⋮ Curves testing boundedness of polynomials on subsets of the real plane ⋮ A note on nondegenerate matrix polynomials ⋮ Toric completions and bounded functions on real algebraic varieties

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