Parabolic exhaustions and analytic coverings.
Partial resolutions of quotient singularities.
Period mapping via Brieskorn modules
Periodicity of Branched Cyclic Covers of Manifolds with Open Book Decomposition.
Perturbative expansions in quantum mechanics
We prove a analytic versal deformation theorem in the Heisenberg algebra. We define the spectrum of an element in the Heisenberg algebra. The quantised version of the Morse lemma already shows that the perturbation series arising in a perturbed harmonic oscillator become analytic after a formal Borel transform.
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.
Perverse sheaves with singularities along the curve Yn = Xm.
Pinceaux de courbes planes et invariants polaires
We study pencils of plane curves , t ∈ ℂ, using the notion of polar invariant of the plane curve f = 0 with respect to a smooth curve l = 0. More precisely we compute the jacobian Newton polygon of the generic fiber , t ∈ ℂ. The main result gives the description of pencils which have an irreducible fiber. Furthermore we prove some applications of the local properties of pencils to singularities at infinity of polynomials in two complex variables.
Pinceaux linéaires de feuilletages sur CP(3) et conjecture de Brunella.
The general element of a pencil of Cod 1 foliation in CP(3) either has an invariant surface or contains a subfoliation by algebraic curves.
Plurisubharmonic functions with logarithmic singularities
To a plurisubharmonic function on with logarithmic growth at infinity, we may associate the Robin functiondefined on , the hyperplane at infinity. We study the classes , and (respectively) of plurisubharmonic functions which have the form and (respectively) for which the function is not identically . We obtain an integral formula which connects the Monge-Ampère measure on the space with the Robin function on . As an application we obtain a criterion on the convergence of the Monge-Ampère...
Polar Curves and Intersection Matrices of Singularities.
Polar quotients and singularities at infinity of polynomials in two complex variables
Using the notion of the maximal polar quotient we characterize the critical values at infinity of polynomials in two complex variables. As an application we give a necessary and sufficient condition for a family of affine plane curves to be equisingular at infinity.
Pole order filtration on the cohomology of algebraic links
Polyèdre de Newton et distribution f... +. II.
Polyèdre de Newton et genre géométrique d'une singularité intersection complète
Polyèdre de Newton, éventails et désingularisation, d'après A. N. Varchenko
Polynôme d'Alexander à l'infini d'un polynôme à deux variables.
In this work, we compute the Alexander invariants at infinity of a complex polynomial in two variables by means of its resolution and also by means of the Eisenbud-Neumann diagram of the generic link at infinity of the polynomial.
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