Continuing 1 -dimensional Analytic Sets.
Continuity of intersection of analytic sets
Continuity of the relative extremal function on analytic varieties in ℂⁿ
Let V be an analytic variety in a domain Ω ⊂ ℂⁿ and let K ⊂ ⊂ V be a closed subset. By studying Jensen measures for certain classes of plurisubharmonic functions on V, we prove that the relative extremal function is continuous on V if Ω is hyperconvex and K is regular.
Continuity of total number of intersection
Contribution du cup-produit de la fibre de Milnor aux pôles de
Nous montrons comment un cup-produit non trivial entre deux blocs de Jordan pour une même valeur propre de la monodromie agissant sur la cohomologie de la fibre de Milnor d’un germe de fonction holomorphe provoque des pôles d’ordres élevés pour le prolongement méromorphe de . Pour la valeur propre 1 ceci donne en particulier le phénomène de “contribution sur-effective”.
Contribution effective dans le réel
Contribution effective de la monodromie aux développements asymptotiques
Convergence of holomorphic chains
We endow the module of analytic p-chains with the structure of a second-countable metrizable topological space.
Convexité de l'espace des cycles
Coréduction algébrique d'un espace analytique faiblement Kählérien compact.
Correction to the paper "Signatures and flatness".
Coverings defined by Weierstraß polynomials.
Curvature on algebraic plane curves. I
Curvature on holomorphic plane curves. II
Cycle exceptionnel de l'éclatement de Nash d'une hypersurface analytique complexe à singularité isolée
Cycles lagrangiens, fonctions constructibles et applications
Cyclic coverings of Fano threefolds
We describe a series of Calabi-Yau manifolds which are cyclic coverings of a Fano 3-fold branched along a smooth divisor. For all the examples we compute the Euler characteristic and the Hodge numbers. All examples have small Picard number .
Das zariskische Diskriminantenkriterium und die Fortsetzung von Derivationen.
Decomposition into special cubes and its applications to quasi-subanalytic geometry
The main purpose of this paper is to present a natural method of decomposition into special cubes and to demonstrate how it makes it possible to efficiently achieve many well-known fundamental results from quasianalytic geometry as, for instance, Gabrielov's complement theorem, o-minimality or quasianalytic cell decomposition.
Definable stratification satisfying the Whitney property with exponent 1
We prove that for a finite collection of sets definable in an o-minimal structure there exists a compatible definable stratification such that for any stratum the fibers of its projection onto satisfy the Whitney property with exponent 1.