Parusinski's “Key Lemma” via algebraic geometry.
Peak points for domains in ℂⁿ
We give a necessary and sufficient condition for the existence of a weak peak function by using Jensen type measures. We also show the existence of a weak peak function for a class of Reinhardt domains.
Peak Points on Weakly Pseudokonvex Domains.
Peak Sets in Pseudoconvex Domains with Isolated Degeneracies.
Peak Sets in Pseudoconvex Domains with the (NP) Property.
Peak Sets in Weakly Pseudoconvex Domains.
Peirce-Zerlegungen und Jordan-Strukturen zu homogenen Kegeln.
Period mapping via Brieskorn modules
Period matrices of Accola-MacLachlan and Kulkarni surfaces.
Périodes p-adiques des variétés abéliennes.
Periodicity of Branched Cyclic Covers of Manifolds with Open Book Decomposition.
Periodische Abbildungen unitärer Mannigfaltigkeiten.
Periods and Gauss-Manin Connection for Families of p-Adic Schottky Groups.
Periods of Enriques Surfaces.
Periods of p-adic Schottky groups.
Permanence of local properties under hyperplane sections
Perturbation results for the local Phragmén-Lindelöf condition and stable homogeneous polynomials.
The local Phragmén-Lindelöf condition for analytic varieties in complex n-space was introduced by Hörmander and plays an important role in various areas of analysis. Recently, new necessary geometric properties for a variety satisfying this condition were derived by the present authors. These results are now applied to investigate the homogeneous polynomials P with real coefficients that are stable in the following sense: Whenever f is a holomorphic function that is defined in some neighborhood...
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.