Comparaison des facteurs duaux des isocristaux surconvergents
Comparaison des formes de Seifert et des fonctions zêta de Denef-Loeser des germes de courbe plane à singularité isolée
Nous démontrons que la donnée de la forme de Seifert entière et de la fonction zêta de Denef-Loeser d’un germe de courbe plane à singularité isolée ne déterminent pas le type topologique de ce germe. De plus, la fonction zêta de Denef-Loeser d’un tel germe ne détermine pas la forme de Seifert entière associée.
Comparing modules of differential operators by their evaluation on polynomials
Comparing the Bergman and the Szegö Projections.
Comparison of the Bergman and the Kobayashi Metric.
Comparison of Two Capacities in Cn.
Complément sur le noyau de Bergman
Complements of analytic subvarieties and q-complete spaces
Si dimostra che il complementare di un sottospazio analitico chiuso localmente intersezione completa di codimensione di una varietà di Stein è -completo.
Complements of domains with respect to hulls of outside compact sets.
Complete Characterization of Holomorphic Chains of Codimension One.
Complete Hartogs Domains in C2 have Regular Bergman and Szegö Projections.
Complete intersection singularities of splice type as universal Abelian covers.
Complete Intersections in Stein Manifolds.
Complete Kähler-Einstein Metrics on Bounded Domains Locally of Finite Volume at Some Boundary Points.
Complete locally pluripolar sets.
Complete Pick positivity and unitary invariance
The characteristic function for a contraction is a classical complete unitary invariant devised by Sz.-Nagy and Foiaş. Just as a contraction is related to the Szegö kernel for |z|,|w| < 1, by means of , we consider an arbitrary open connected domain Ω in ℂⁿ, a complete Pick kernel k on Ω and a tuple T = (T₁, ..., Tₙ) of commuting bounded operators on a complex separable Hilbert space ℋ such that (1/k)(T,T*) ≥ 0. For a complete Pick kernel the 1/k functional calculus makes sense in a beautiful...
Complete pluripolar curves and graphs
It is shown that there exist functions on the boundary of the unit disk whose graphs are complete pluripolar. Moreover, for any natural number k, such functions are dense in the space of functions on the boundary of the unit disk. We show that this result implies that the complete pluripolar closed curves are dense in the space of closed curves in ℂⁿ. We also show that on each closed subset of the complex plane there is a continuous function whose graph is complete pluripolar.
Complete pluripolar graphs in
Let F be the Cartesian product of N closed sets in ℂ. We prove that there exists a function g which is continuous on F and holomorphic on the interior of F such that is complete pluripolar in . Using this result, we show that if D is an analytic polyhedron then there exists a bounded holomorphic function g such that is complete pluripolar in . These results are high-dimensional analogs of the previous ones due to Edlund [Complete pluripolar curves and graphs, Ann. Polon. Math. 84 (2004), 75-86]...
Completeness of the Bergman metric on non-smooth pseudoconvex domains
We prove that the Bergman metric on domains satisfying condition S is complete. This implies that any bounded pseudoconvex domain with Lipschitz boundary is complete with respect to the Bergman metric. We also show that bounded hyperconvex domains in the plane and convex domains in are Bergman comlete.
Completeness of the inner kth Reiffen pseudometric
We give an example of a Zalcman-type domain in ℂ which is complete with respect to the integrated form of the (k+1)st Reiffen pseudometric, but not complete with respect to the kth one.