Periodicity of Branched Cyclic Covers.
Perturbing plane cruve singularities.
We describe the singularity of all but finitely-many germs in a pencil generated by two germs of plane curve sharing no tangent.
Polyèdre de Newton et genre géométrique d'une singularité intersection complète
Polyèdre de Newton, éventails et désingularisation, d'après A. N. Varchenko
Polynômes de Bernstein associés à une fonction sur une intersection complète à singularité isolée
Nous montrons comment calculer des équations fonctionnelles du type de Bernstein associées à une fonction et aux sections du module de cohomologie locale algébrique à support une intersection complète quasi-homogène à singularité isolée.
Polynômes de Bernstein et monodromie
Polynômes de Bernstein-Sato associés à une intersection complète quasi-homogène à singularité isolée
Projective Resolutions of Cohen-Macaulay Algebras.
Punctual Hilbert schemes and resolutions of multiple point singularities.
Quadratic forms and singularities of genus one or two
We study singularities obtained by the contraction of the maximal divisor in compact (non-kählerian) surfaces which contain global spherical shells. These singularities are of genus 1 or 2, may be -Gorenstein, numerically Gorenstein or Gorenstein. A family of polynomials depending on the configuration of the curves computes the discriminants of the quadratic forms of these singularities. We introduce a multiplicative branch topological invariant which determines the twisting coefficient of a non-vanishing...
Quadratische Formen über affinen Algebren und ein algebraischer Beweis des Satzes von Borsuk-Ulam.
Quantum Singularity Theory for and -Spin Theory
We give a review of our construction of a cohomological field theory for quasi-homogeneous singularities and the -spin theory of Jarvis-Kimura-Vaintrob. We further prove that for a singularity of type our construction of the stack of -curves is canonically isomorphic to the stack of -spin curves described by Abramovich and Jarvis. We further prove that our theory satisfies all the Jarvis-Kimura-Vaintrob axioms for an -spin virtual class. Therefore, the Faber-Shadrin-Zvonkine proof of the...
Quasi-Gorenstein Fano 3-folds with isolated non-rational loci
Quasihomogeneous Singularities.
Quelques remarques sur le spectre de singularite d'un germe de courbe plane
Quotient Singularities which are Complete Intersections.
Racines approchées, suites génératrices, suffisance des jets
Rational Double Points on a Rational Surface.
Rational Puiseux expansions
Rational smoothness of varieties of representations for quivers of Dynkin type
We study the Zariski closures of orbits of representations of quivers of type , ou . With the help of Lusztig’s canonical base, we characterize the rationally smooth orbit closures and prove in particular that orbit closures are smooth if and only if they are rationally smooth.