Patching local uniformizations
P-division points on certain elliptic curves
Peirce-Zerlegungen und Jordan-Strukturen zu homogenen Kegeln.
Pencils of binary quartics
Pencils of irreducible rational curves and plane Jacobian conjecture
In certain cases the invertibility of a polynomial map F = (P,Q): ℂ²→ ℂ² can be characterized by the irreducibility and the rationality of the curves aP+bQ = 0, (a:b) ∈ ℙ¹.
Pencils of minimal degree on curves on a K3 surface.
Pencils of quadrics and hyperelliptic curves in characteristic two.
Pentes algébriques et pentes analytiques d’un -module
Pentes des Fibrés Vectoriels Adéliques sur un Corps Global
Perfect stratifications and theory of weights.
In this paper we emphasize Deligne's theory of weights, in order to prove that some stratifications of algebraic varieties are perfect. In particular, we study in some detail the Bialynicki-Birula's stratifications and the stratifications considered by F. Kirwan to compute the cohomology of symplectic or geometric quotients. Finally we also appoint the motivic formulation of this approach, which contains the Hodge theoretic formulation.
Period matrices of Accola-MacLachlan and Kulkarni surfaces.
Period Matrices of hyperelliptic curves.
Period relations and the Tate conjecture for Hubert modular surfaces.
Periode und Index eines prinzipal-homogenen Raumes über gewissen Abelschen Varietäten.
Périodes et isogénies des variétés abéliennes sur les corps de nombres
Périodes p-adiques des variétés abéliennes.
Periodic automorphisms of surfaces: Invariant circles and maximal orders.
Periodic integrals and tautological systems
We study period integrals of CY hypersurfaces in a partial flag variety. We construct a regular holonomic system of differential equations which govern the period integrals. By means of representation theory, a set of generators of the system can be described explicitly. The results are also generalized to CY complete intersections. The construction of these new systems of differential equations has lead us to the notion of a tautological system.
Periodic solitons and real algebraic curves.
We describe a method of calculation of all physical algebraic-geometrical solutions of KP-equations.
Periodicity in -groups of certain fields