La convexité holomorphe dans l'espace analytique des cycles d'une variété algébrique, Ann. Scuola Norm. Sup. Pisa, vol.21, issue.3, pp.31-82, 1967. ,
Arc-analytic functions, Inventiones Mathematicae, vol.16, issue.2, pp.411-424, 1990. ,
DOI : 10.1007/BF01231509
Rational real algebraic models of topological surfaces, Doc. Math, vol.12, pp.549-567, 2007. ,
Abstract, Compositio Mathematica, vol.80, issue.01, pp.161-187, 2011. ,
DOI : 10.1112/S0010437X10004835
Normal spectral spaces and their dimensions, Journal of Pure and Applied Algebra, vol.30, issue.3, pp.227-235, 1983. ,
DOI : 10.1016/0022-4049(83)90058-0
Real algebraic 1-cocycles are Nash coboundaries, Boll. Un. Mat. Ital. A, vol.6, issue.7 2, pp.249-254, 1992. ,
Éléments de géométrie algébrique. III. Étude cohomologique des faisceaux cohérents, I. Publ. Math. IHES, vol.11, 1961. ,
Algebraic Geometry, Graduate Texts in Mathematics, vol.133, 1992. ,
DOI : 10.1007/978-1-4757-2189-8
Algebraic geometry, Graduate Texts in Mathematics, vol.52, 1977. ,
DOI : 10.1007/978-1-4757-3849-0
Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I, The Annals of Mathematics, vol.79, issue.1, pp.109-326, 1964. ,
DOI : 10.2307/1970486
The group of automorphisms of a real rational surface is n-transitive, Bull, pp.563-568, 2009. ,
Labs, surfex 0.90, 2008. ,
On the cohomology of nash sheaves, Topology, vol.11, issue.3, pp.265-270, 1972. ,
DOI : 10.1016/0040-9383(72)90013-4
Lectures on resolution of singularities, 2007. ,
Continuous rational functions on real and p-adic varieties, arXiv:1101, p.3737 ,
Continuous rational functions on real and p-adic varieties II ,
Cremona transformations and diffeomorphisms of surfaces, Advances in Mathematics, vol.222, issue.1, pp.44-61, 2009. ,
DOI : 10.1016/j.aim.2009.03.020
Rational maps in real algebraic geometry, Advances in Geometry, vol.9, issue.4, pp.517-539, 2009. ,
DOI : 10.1515/ADVGEOM.2009.024
On classification of real singularities, Inventiones Mathematicae, vol.36, issue.2, pp.257-262, 1985. ,
DOI : 10.1007/BF01388802
Ensembles semi-alg???briques sym???triques par arcs, Mathematische Annalen, vol.87, issue.3, pp.445-462, 1988. ,
DOI : 10.1007/BF01460044
Injective endomorphisms of real algebraic sets are surjective, Mathematische Annalen, vol.313, issue.1, pp.69-82, 1999. ,
DOI : 10.1007/s002080050250
Arc-symmetric sets and arc-analytic mappings, Arc spaces and additive invariants in real algebraic and analytic geometry, pp.33-67, 2007. ,
On the Euler characteristic of the links of a set determined by smooth definable functions, Annales Polonici Mathematici, vol.93, issue.3, pp.231-246, 2008. ,
DOI : 10.4064/ap93-3-4
Topology of injective endomorphisms of real algebraic sets, Mathematische Annalen, vol.328, issue.1-2, pp.353-372, 2004. ,
DOI : 10.1007/s00208-003-0486-x
Principles of mathematical analysis, International student editions, 1976. ,
Faisceaux Algebriques Coherents, The Annals of Mathematics, vol.61, issue.2, pp.197-278, 1955. ,
DOI : 10.2307/1969915
Calculus, Publish or Perish, 1984. ,
A nullstellensatz and a positivstellensatz in semialgebraic geometry, Mathematische Annalen, vol.8, issue.2, pp.87-97, 1974. ,
DOI : 10.1007/BF01362149
35042 Rennes Cedex, France E-mail address: goulwen.fichou@univ-rennes1 Université de Bretagne Occidentale, 6, Av. Victor Le Gorgeu France E-mail address: Johannes.Huisman@univ-brest.fr Frédéric Mangolte d'Angers E-mail address: frederic.mangolte@univ-angers, fr Johannes Huisman, LMBA (UMR 6205), 29238. ,