The principle of moduli flexibility for real algebraic manifolds

Edoardo Ballico, and Riccardo Ghiloni. "The principle of moduli flexibility for real algebraic manifolds." Annales Polonici Mathematici 109.1 (2013): 1-28. <http://eudml.org/doc/280451>.

@article{EdoardoBallico2013,
abstract = {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".},
author = {Edoardo Ballico, Riccardo Ghiloni},
journal = {Annales Polonici Mathematici},
keywords = {Nash manifolds; real algebraic manifolds; purely real deformations},
language = {eng},
number = {1},
pages = {1-28},
title = {The principle of moduli flexibility for real algebraic manifolds},
url = {http://eudml.org/doc/280451},
volume = {109},
year = {2013},
}

TY - JOUR
AU - Edoardo Ballico
AU - Riccardo Ghiloni
TI - The principle of moduli flexibility for real algebraic manifolds
JO - Annales Polonici Mathematici
PY - 2013
VL - 109
IS - 1
SP - 1
EP - 28
AB - 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".
LA - eng
KW - Nash manifolds; real algebraic manifolds; purely real deformations
UR - http://eudml.org/doc/280451
ER -