, Annals of Mathematics, Second Series, vol.63, issue.3, pp.491-526
Resolution of Singularities of Embedded Algebraic Surfaces, 1966. ,
Sulla risoluzione delle singolarita puntuali delle super cie algebriche dello spazio ordinario per transformazioni quadratiche Ann. Mat.pura appl, p.1897 ,
DOI : 10.1007/bf02346208
URL : https://zenodo.org/record/2430985/files/article.pdf
, Risoluzione delle singolarita puntuali delle super cie algeb-riche Atti Accad. Sci. Torino33, p.1897
DOI : 10.1007/bf02419289
URL : https://zenodo.org/record/1732112/files/article.pdf
Local resolution of singularities, Real analytic and algebraic geometry, vol.1420, pp.42-64, 1988. ,
DOI : 10.1007/bfb0083910
, Eléments de mathématiques : Algèbre commutative, Masson, 1985.
Resolution of singularities of threefolds in positive characteristic. I. Reduction to local uniformization on Artin-Schreier and purely inseparable coverings, Journal of Algebra, vol.320, issue.3, pp.1051-1082 ,
URL : https://hal.archives-ouvertes.fr/hal-00139124
Resolution of singularities of threefolds in positive characteristic, II Journal of Algebra, vol.321, issue.7, pp.1836-1976 ,
URL : https://hal.archives-ouvertes.fr/hal-00139124
, Resolution of Singularities of Arithmetical Threefolds II
URL : https://hal.archives-ouvertes.fr/hal-01089140
Reduction of singularities of three-dimensional line foliations Revista de la Real Academia de Ciencias Ex-actas, Fisicas y Naturales. Serie A. Matematicas108, Issue, vol.1, pp.221-258, 2014. ,
Abstract key polynomials and comparison theorems with the key polynomials of Mac Lane-Vaquié ,
Strong resolution of singularities in characteristic zero, Comment. Math. Helv, vol.77, issue.4, pp.821-845, 2002. ,
Commutative Algebra with a View Toward Algebraic Geometry, 1995. ,
A new proof of desingularization over fields of characteristic zero, Proceedings of the International Conference on Algebraic Geometry and Singularities, vol.19, pp.339-353, 2001. ,
Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II, Ann. of Math, vol.79, issue.2, pp.205-326, 1964. ,
, Key polynomials for simple extensions of valued fields
URL : https://hal.archives-ouvertes.fr/hal-01887698
Spivakovsky et Teissier, Extending a valuation centered in a local domain to the formal completion Proc, vol.105, pp.571-621, 2012. ,
Darstellung der Funktionen eines algebraischen Körpers zweier unabhän-gigen Veränderlichen x,y in der Umgebung einer Stelle x-a,y-b J. Reine Angew, Math, vol.133, pp.289-314, 1908. ,
, Contributions à l'étude des singularités du point devue du polygone de, p.7, 1973.
, , 1970.
A construction for absolute values in polynomial rings, Transactions of the AMS, vol.40, pp.363-395, 1936. ,
Une construction explicite de polynômes-clefs pour des valuations de rang fini, 2013. ,
Key polynomials and pseudo-convergent sequences, Journal of Algebra, vol.495, pp.199-219, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01978954
Reduction of local uniformization to the case of rank one valuations for rings with zero divisors. Valuation Theory in Interaction, EMS Series of Congress Reports, pp.404-431, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01979161
, Proceedings ofthe Saskatoon Conference and Workshop on valuation theory, vol.II, pp.361-459, 2003.
Desingularization of quasi-excellent schemes in characteristic zero, Adv. Math, vol.219, issue.2, pp.488-522, 2008. ,
Inseparable local uniformization, J. Algebra373, pp.65-119, 2013. ,
, Valuations and local uniformization Advanced Studies in Pure Mathematics 43, 2006. Singularity Theory and Its Applications, pp.477-527
Extension d'une valuation, Trans. Amer. Math. Soc, vol.359, issue.7, pp.3439-3481, 2007. ,
, Valuations, dans Resolution of Singularities, vol.181, p.13005, 2000.
Constructiveness of Hironaka's resolution, Ann. Sci. École Norm. Sup, vol.22, issue.4, pp.1-32, 1989. ,
Reduction of the Singularities of an Algebraic Surface, Annals of Mathematics, Second Series, vol.36, issue.2, pp.336-365 ,
Simple Hironaka resolution in characteristic zero, J. Amer. Math. Soc, vol.18, issue.4, pp.779-822, 2005. ,
The reduction of the singularities of an algebraic surface, Ann. of Math, vol.40, issue.2, pp.639-689, 1939. ,
Local uniformization theorem on algebraic varieties, Ann. of Math, vol.41, pp.852-896, 1940. ,
Reduction of singularities of algebraic three dimensional varieties Ann, of Math, vol.45, pp.472-542, 1944. ,
, Graduate Texts in Mathematics, vol.2, 1960.