The principle of moduli flexibility for real algebraic manifolds

• Autorzy: Edoardo Ballico , Riccardo Ghiloni
• Języki publikacji: EN

Abstrakty

EN

Given a real closed field R, we define a real algebraic manifold as an irreducible nonsingular algebraic subset of some Rⁿ. This paper deals with deformations of real algebraic manifolds. The main purpose is to prove rigorously the reasonableness of the following principle, which is in sharp contrast with the compact complex case: "The algebraic structure of every real algebraic manifold of positive dimension can be deformed by an arbitrarily large number of effective parameters".

Kategorie tematyczne

• 14P05: Real algebraic sets
• 14P25: Topology of real algebraic varieties
• 14P20: Nash functions and manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 109
• Numer: 1
• Strony: 1-28

Daty

wydano

2013

Twórcy

autor

Edoardo Ballico

• Department of Mathematics, University of Trento, 38123 Povo-Trento, Italy

autor

Riccardo Ghiloni

• Department of Mathematics, University of Trento, 38123 Povo-Trento, Italy

Identyfikatory

DOI

10.4064/ap109-1-1