Weighted homogeneous polynomials and blow-analytic equivalence . Singularity theory and its applications, Adv. Stud. Pure Math, vol.43, pp.333-345, 2006. ,
Torification and factorization of birational maps, Journal of the American Mathematical Society, vol.15, issue.03, pp.531-572, 2002. ,
DOI : 10.1090/S0894-0347-02-00396-X
Singularity of differentiable maps, 1985. ,
THE DENEF???LOESER ZETA FUNCTION IS NOT A TOPOLOGICAL INVARIANT, Journal of the London Mathematical Society, vol.65, issue.01, pp.65-110, 2002. ,
DOI : 10.1112/S0024610701002848
Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant, Inventiones Mathematicae, vol.128, issue.2, pp.207-302, 1997. ,
DOI : 10.1007/s002220050141
The universal Euler characteristic for varieties of characteristic zero, Compositio Mathematica, vol.140, issue.04, pp.1011-1032, 2004. ,
DOI : 10.1112/S0010437X03000617
Approximation in Compact Nash Manifolds, American Journal of Mathematics, vol.117, issue.4, pp.905-927, 1995. ,
DOI : 10.2307/2374953
Newton Polyhedra and Igusa's Local Zeta Function, Journal of Number Theory, vol.89, issue.1, pp.31-64, 2001. ,
DOI : 10.1006/jnth.2000.2606
Caractéristiques d'Euler-Poincaré, fonctions zêta locales et modifications analytiques, J. Amer. Math. Soc, vol.5, pp.705-720, 1995. ,
Motivic exponential integrals and a motivic Thom-Sebastiani theorem , Duke Math, J, vol.99, issue.2, pp.285-309, 1999. ,
Germs of arcs on singular algebraic varieties and motivic integration, Inventiones Mathematicae, vol.135, issue.1, pp.201-232, 1999. ,
DOI : 10.1007/s002220050284
URL : https://hal.archives-ouvertes.fr/hal-00005691
Geometry on arc spaces of algebraic varieties European Congress of Math, pp.325-348, 2000. ,
Motivic invariants of arc-symmetric sets and blow-Nash equivalence, Compositio Mathematica, vol.141, issue.03, pp.655-688, 2005. ,
DOI : 10.1112/S0010437X05001168
Zeta functions and blow-Nash equivalence, Annales Polonici Mathematici, vol.87, pp.111-126, 2005. ,
DOI : 10.4064/ap87-0-10
URL : https://hal.archives-ouvertes.fr/hal-00003913
The corank and the index are blow-Nash invariants, Kodai Math, J, vol.29, issue.1, pp.31-40, 2006. ,
Toward a classification of blow-Nash types, RIMS Kôkyûroku 1540, pp.145-151, 2006. ,
Blow-Nash types of simple singularities, Journal of the Mathematical Society of Japan, vol.60, issue.2, pp.445-470, 2008. ,
DOI : 10.2969/jmsj/06020445
URL : https://hal.archives-ouvertes.fr/hal-00132982
Nombres de Betti virtuels ??quivariants, Annales de l???institut Fourier, vol.58, issue.1, pp.1-27, 2008. ,
DOI : 10.5802/aif.2342
Abstract, Mathematical Proceedings of the Cambridge Philosophical Society, vol.43, issue.01 ,
DOI : 10.2996/kmj/1138037201
On almost blow-analytic equivalence, Proceedings of the ,
DOI : 10.1112/plms/pdq031
URL : https://hal.archives-ouvertes.fr/hal-00346718
Analytic equivalence of normal crossing functions on a real analytic manifold, prépublication arXiv, pp.811-4569 ,
Seeking invariants for blow-analytic equivalence, Compositio Mathematica, vol.105, issue.1, pp.95-107, 1997. ,
DOI : 10.1023/A:1000177700927
Blow-analytic equisingularities, properties, problems and progress, Real Analytic and Algebraic Singularities, Pitman Research Notes in Mathematics Series, pp.381-389, 1998. ,
Modified Nash triviality of a family of zero-sets of real polynomial mappings, Annales de l???institut Fourier, vol.48, issue.5, pp.1395-1440, 1998. ,
DOI : 10.5802/aif.1660
On blow-analytic equivalence, Arc spaces and additive invariants in real algebraic geometry, Panoramas et Synthèses, SMF, vol.26, pp.87-125, 2008. ,
Introduction to Toric Varieties, Annals of Math. Studies, vol.131, 1993. ,
DOI : 10.1515/9781400882526
Sur quelques points d'algèbre homologique, Tôhoku Math, J, issue.2 9, pp.143-162, 1970. ,
DOI : 10.2748/tmj/1178244839
URL : http://projecteuclid.org/download/pdf_1/euclid.tmj/1178244839
Espaces d'arcs et invariants d'Alexander, Commentarii Mathematici Helvetici, vol.77, issue.4, pp.783-820, 2002. ,
DOI : 10.1007/PL00012442
Existence of moduli for bi-Lipschitz equivalence of analytic functions, Compositio Mathematica, vol.136, issue.2, pp.217-235, 2003. ,
DOI : 10.1023/A:1022726806349
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
Modified Nash triviality theorem for a family of zero-sets of weighted homogeneous polynomial mappings, Journal of the Mathematical Society of Japan, vol.49, issue.3, pp.617-631, 1997. ,
DOI : 10.2969/jmsj/04930617
Nash trivial simultaneous resolution for a family of zero-sets of Nash mappings, Mathematische Zeitschrift, vol.234, issue.2, pp.313-338, 2000. ,
DOI : 10.1007/s002099900109
Invariants de type motivique de l'??quivalence blow-analytique, Annales de l???institut Fourier, vol.53, issue.7, pp.2061-2104, 2003. ,
DOI : 10.5802/aif.2001
The modified analytic trivialization of singularities, Journal of the Mathematical Society of Japan, vol.32, issue.4, pp.32-605, 1980. ,
DOI : 10.2969/jmsj/03240605
A theorem on almost analytic equisingularity, Journal of the Mathematical Society of Japan, vol.33, issue.3, pp.471-484, 1981. ,
DOI : 10.2969/jmsj/03330471
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
Arc-symmetric sets and arc-analytic mappings, Arc spaces and additive invariants in real algebraic and analytic geometry, pp.33-67, 2007. ,
Virtual Betti numbers of real algebraic varieties, Comptes Rendus Mathematique, vol.336, issue.9, pp.763-768, 2003. ,
DOI : 10.1016/S1631-073X(03)00168-7
The weight filtration for real algebraic varieties, to appear in the proceedings of the MSRI workshop " Topology of Stratified Spaces ,
Real Algebraic Manifolds, The Annals of Mathematics, vol.56, issue.3, pp.405-421, 1952. ,
DOI : 10.2307/1969649
Un crit??re d???extension des foncteurs d??finis sur les sch??mas lisses, Publications math??matiques de l'IH??S, vol.95, issue.1, pp.1-91, 2002. ,
DOI : 10.1007/s102400200003
Space of real arc germs and Poincar?? series of a semi-algebraic subset, Annales de l???institut Fourier, vol.51, issue.1, pp.43-68, 2001. ,
DOI : 10.5802/aif.1814
Equivalence of differentiable mappings and analytic mappings, Publications math??matiques de l'IH??S, vol.36, issue.1, pp.54-237, 1981. ,
DOI : 10.1007/BF02698691
Relation between equivalence relations of maps and functions, Real Analytic and Algebraic Singularities, Pitman Research Notes in Mathematics Series, pp.381-114, 1998. ,
A new proof of D. Popescu's theorem on smoothing of ring homomorphisms, Journal of the American Mathematical Society, vol.12, issue.02, pp.381-444, 1999. ,
DOI : 10.1090/S0894-0347-99-00294-5
Résultats récents sur l'approximation des morphismes en algèbre commutative (d'après André, Séminaire Bourbaki, p.94, 1993. ,
Topology of singular algebraic varieties, Proc. Int. Cong. Math. Beijing, vol.1, pp.533-541, 2002. ,
Algebraic cycles and topology of real algebraic varieties, CWI Tract 129, 1997. ,
Toroidal varieties and the weak factorization theorem, Invent. Math, vol.154, issue.2, pp.223-331, 2003. ,