A singular Riemann-Roch for Hirzebruch characteristics
A vanishing theorem concerning the Artin component of a rational surface singularity.
Abelian group actions on algebraic varieties with one fixed point.
Algebraic tubular neighbourhoods I.
Algèbres simples centrales sur les corps de fonctions de deux variables
À toute classe dans le groupe de Brauer d’un corps sont associés deux entiers, l’indice (degré d’un corps gauche représentant la classe) et l’exposant (ordre de la classe dans le groupe de Brauer). L’exposant divise l’indice, mais ne lui est pas nécessairement égal. Lorsque est un corps de nombres, c’est un théorème des années 1930 qu’exposant et indice coïncident. A. J. de Jong (Duke Math. J. 123 (2004) 71-94) a montré récemment qu’ils coïncident aussi lorsque est un corps de fonctions de...
Altérations de variétés algébriques
Ambient Deformations for Exceptional Sets in Two-Manifolds.
Ample vector bundles on singular varieties.
An algebraic construction of the generic singularities of Boardman-Thom
An Algebraic Formula for the Index of a Vector Field on an Isolated Complete Intersection Singularity
Let be a germ of a complete intersection variety in , , having an isolated singularity at and be the germ of a holomorphic vector field having an isolated zero at and tangent to . We show that in this case the homological index and the GSV-index coincide. In the case when the zero of is also isolated in the ambient space we give a formula for the homological index in terms of local linear algebra.
An arithmetic characterisation of the symmetric monodromy groups of singularities.
An estimate of approximation constants for p-adic and real varities.
An example concerning a question of Zariski
An extension to fields of positive characteristic of Mather's construction of the Thom-Boardman sequence
An Integral Criterion for the Equivalence of Plane Curves.
An orbit closure for a representation of the Kronecker quiver with bad singularities
We give an example of a representation of the Kronecker quiver for which the closure of the corresponding orbit contains a singularity smoothly equivalent to the isolated singularity of two planes crossing at a point. Therefore this orbit closure is neither Cohen-Macaulay nor unibranch.
Analytic equivalence of plane curve singularities .
Appendice à «Singularités rationnelles de surfaces»
Appendix to : “smoothings of cusp singularities via triangle singularities”
Applications of Functional Analysis to the Solution of Power Series Equations.