Intégrales asymptotiques et monodromie
Intégrales asymptotiques et monodromie
Intégration motivique sur les schémas formels
Nous généralisons la théorie de l’intégration motivique au cadre des schémas formels. Nous définissons et étudions l’anneau booléen des ensembles mesurables, la mesure motivique, l’intégrale motivique et nous démontrons un théorème de changement de variables pour cette intégrale.
Intersection form for quasi-homogeneous singularities
Invarianten quasihomogener vollständiger Durchschnitte.
Invariants polaires de courbes planes.
Is the Luna stratification intrinsic?
Let be a representation of a reductive linear algebraic group on a finite-dimensional vector space , defined over an algebraically closed field of characteristic zero. The categorical quotient carries a natural stratification, due to D. Luna. This paper addresses the following questions:(i) Is the Luna stratification of intrinsic? That is, does every automorphism of map each stratum to another stratum?(ii) Are the individual Luna strata in intrinsic? That is, does every automorphism...
Isolated points on fibers of affinoid varieties.
Jet schemes of complex plane branches and equisingularity
For , we determine the irreducible components of the th Jet Scheme of a complex branch and we give formulas for their number and for their codimensions, in terms of and the generators of the semigroup of . This structure of the Jet Schemes determines and is determined by the topological type of .
Killing divisor classes by algebraisation
It is proved that any isolated singularity of complete intersection has an algebraisation whose divisor class group is finitely generated.
Kodaira singularities and an extension of Arnold's strange duality
L2-cohomology and intersection homology of certain algebraic varieties with isolated singularities.
La méthode d'Horace éclatée: application à l'interpolation en degré quatre.
Le théorème de Riemann-Roch pour les variétés algébriques éventuellement singulières
Les conditions de Whitney impliquent constant
La condition “ constant” est une condition numérique d’équisingularité introduite par B. Teissier. Celui-ci a démontré dans (Astérisque, 7 & 8 (1973) II. Théorème 3.9) que cette condition implique les conditions de Whitney, nous montrons ici la réciproque.
Letter to the Editors.
Limits of log canonical thresholds
Let denote the set of log canonical thresholds of pairs , with a nonsingular variety of dimension , and a nonempty closed subscheme of . Using non-standard methods, we show that every limit of a decreasing sequence in lies in , proving in this setting a conjecture of Kollár. We also show that is closed in ; in particular, every limit of log canonical thresholds on smooth varieties of fixed dimension is a rational number. As a consequence of this property, we see that in order to check...
Linear Complementary Inequalities for Orders of Germs of Analytic Functions.
Local fundamental groups of surface singularities in characteristic p.
Local geometry of smooth curves passing through rational double points.