Partial resolutions of quotient singularities.
Patching local uniformizations
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.
Period Matrices of hyperelliptic curves.
Perverse sheaves with singularities along the curve Yn = Xm.
Plongements d'espaces homogènes.
Plongements d'espaces symétriques algébriques : une classification
Pluricanonical embeddings
Pluricanonical maps for threefolds of general type
In this paper we will prove that for a threefold of general type and large volume the second plurigenera is positive and the fifth canonical map is birational.
Pluricanonical systems on minimal algebraic varieties.
Points périodiques des automorphismes affines.
Points rationnels et groupes fondamentaux : applications de la cohomologie -adique
Je présenterai des résultats de T. Ekedahl et H. Esnault sur les variétés projectives lisses sur un corps de caractéristique strictement positive, disons , dont deux points peuvent être liés par une chaîne de courbes rationnelles, par exemple faiblement unirationnelles, ou de Fano. Notamment : 1) sur un corps fini, de telles variétés ont un point rationnel, résultat qui généralise le théorème de Chevalley-Warning ; 2) sur un corps algébriquement clos, de telles variétés ont un groupe fondamental...
Polar classes of singular varieties
Polyèdre caractéristique et éclatements combinatoires.
Polyèdre de Newton, éventails et désingularisation, d'après A. N. Varchenko
Polynomial bounds for the number of automorphisms of a surface of general type
Polynomial cycles in certain local domains
1. Let R be a domain and f ∈ R[X] a polynomial. A k-tuple of distinct elements of R is called a cycle of f if for i=0,1,...,k-2 and . The number k is called the length of the cycle. A tuple is a cycle in R if it is a cycle for some f ∈ R[X]. It has been shown in [1] that if R is the ring of all algebraic integers in a finite extension K of the rationals, then the possible lengths of cycles of R-polynomials are bounded by the number , depending only on the degree N of K. In this note we consider...
Polynomial Cycles in Finitely Generated Domains.
Polynomial mappings form products of algebraic sets into spheres.
Polynomial periodicity for Betti numbers of covering surfaces.