Hyperbolicity properties of quotient surfaces by freely operating arithmetic lattices
Let be a bounded symmetric domain in and an irreducible arithmetic lattice which operates freely on . We prove that the cusp–compactification of is hyperbolic.
Hypercomplex algebras, hypercomplex analysis and conformal invariance
Inclusion operators in Bergman spaces on bounded symmetric domains in
Increasing Sequences of Complex Manifolds.
Induced Connections on Hypersurfaces in ...n+1.
Inégalités de Markov tangentielles locales sur les courbes algébriques singulières de ℝⁿ
We prove that every singular algebraic curve in ℝⁿ admits local tangential Markov inequalities at each of its points. More precisely, we show that the Markov exponent at a point of a real algebraic curve A is less than or equal to twice the multiplicity of the smallest complex algebraic curve containing A.
Inégalités de Morse pour la -cohomologie sur une variété holomorphe non compacte
Injective hyperbolicity of domains
The pseudometric of Hahn is identical to the Kobayashi-Royden pseudometric on domains of dimension greater than two. Thus injective hyperbolicity coincides with ordinary hyperbolicity in this case.
Inner -th Carathéodory-Reiffen completeness of Reinhardt domains
A description of bounded pseudoconvex Reinhardt domains, which are complete with respect to the inner -th Carathéodory-Reiffen distance, is given.
Integral formulas for the -equation on complex projective algebraic manifolds
Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov.
We construct a variant of Koppelman's formula for (0,q)-forms with values in a line bundle, O(l), on projective space. The formula is then applied to a study of a Radon transform for (0,q)-forms, introduced by Gindikin-Henkin-Polyakov. Our presentation follows along the basic lines of Henkin-Polyakov [3], with some simplifications.
Interpolation Gevrey dans les domaines de type fini de C2.
Intrinsic measures complex manifolds
Intrinsic metrics in complete circular domains.
Invariance of cohomological q-completeness under finite holomorphic surjections.
Invariant distances and invariant differential metrics in locally convex spaces
Invariant distances and metrics in complex analysis-revisited [Book]
Invariant Forms on Complex Manifolds with Application to Holomorphic Mappings.
Invariant functions and metrics in complex analysis [Book]
Invariant Functions on Neil Parabola in Cn
2000 Mathematics Subject Classification: Primary 32F45.We present the Carathéodory and the inner Caratheodory distances and the Carathéodory-Reiffen metric on generalized Neil parabolas in Cn. It is a generalization of the results from [4] and [5].This work is a part of the Research Grant No. 1 PO3A 005 28, which is supported by public means in the programme promoting science in Poland in the years 2005–2008.