Thèmes de Recherche: singularités des variétés algébriques et arithmétiques, désingularisation, théorie des valuations.
Prépublications:
Résolution des Singularités en dimension trois…………………
Mes prépublications récentes sont disponibles sur HAL https://hal.archives-ouvertes.fr/
Liste de Publications:
(avec V. Cossart) Characteristic polyhedra of singularities without completion, Math. Ann. (2014) DOI 10.1007/s00208−014−1064−0.
(avec V. Cossart) Resolution of Singularities of Threefolds in Mixed Characteristics. Case of small multiplicity, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math RACSAM 108 (2014), no. 1 113−151.
(avec V. Cossart & A.J. Reguera) Invariants of the graded algebras associated to divisorial valuations dominating a rational surface singularity, in Valuation Theory in Interaction (2014), EMS Series of Congress Reports, 148−166.
An axiomatic version of Zariski’s patching theorem, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 107 (2013), no. 1, 91-121.
(avec V. Cossart) Resolution of singularities of threefolds in positive
characteristic. II. Artin-Schreier and purely inseparable coverings, J. Algebra 321 (2009), no. 1, 1836-1976.
(avec V. Cossart) Resolution of singularities of threefolds in positive
characteristic. I. Reduction to local uniformization on Artin-Schreier and purely inseparable coverings, J. Algebra 320 (2008), no. 3, 1051-1082.
(avec A. Campillo & A.J. Reguera) Cones of curves and of line bundles « at infinity », J. Algebra 293 (2005), no. 2, 513-542.
(avec S.D. Cutkosky) Ramification of valuations, Adv. Math. 183 (2004), no. 1, 1-79.
On the Jung method in positive characteristic, Proceedings of the International Conference in Honor of Frédéric Pham (Nice, 2002), Ann. Inst. Fourier 53 (2003), no. 4, 1237-1258.
On unique factorization in semigroups of complete ideals, Commutative algebra (Grenoble/Lyon, 2001), Contemp. Math. 331 (2003), Amer. Math. Soc., Providence, RI, 267-294.
(avec A. Campillo & A.J. Reguera) Cones of curves and of line bundles on surfaces associated with curves having one place at infinity, Proc. London Math. Soc. 84 (2002), no. 3, 559-580.
(avec V. Cossart & A.J. Reguera) Divisorial valuations dominating rational surface singularities, Fields Inst. Comm. 32 (2002), 89-102.
(avec S.D. Cutkosky) Monomial resolutions of morphisms of algebraic surfaces, Comm. in Algebra, in honor of R. Hartshorne 28 (2000), no. 12, 5935-5959.
(avec V. Cossart & C. Galindo) Un exemple effectif de gradué non noethérien associé à une valuation divisorielle, Ann. Inst. Fourier 50 (2000), no. 1, 105-112.
(avec V. Cossart & A.J. Reguera) On isomorphisms of blowing-ups of complete ideals of a rational surface singularity, Manuscripta Math. 98 (1999), 65-73.
Frobenius pour les sommes de Selberg, Math. Annalen 303 (1995), 435-456.
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