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Displaying 121 – 140 of 442

Extension of germs of holomorphic isometries up to normalizing constants with respect to the Bergman metric

Ngaiming Mok (2012)

Journal of the European Mathematical Society

We study the extension problem for germs of holomorphic isometries $f : (D; x_{0}) \to (Ω; f (x_{0}))$ up to normalizing constants between bounded domains in Euclidean spaces equipped with Bergman metrics $d s_{D}^{2}$ on $D$ and $d s_{Ω}^{2}$ on $Ω$ . Our main focus is on boundary extension for pairs of bounded domains $(D, Ω)$ such that the Bergman kernel $K_{D} (z, w)$ extends meromorphically in $(z, \bar{w})$ to a neighborhood of $\bar{D} \times D$ , and such that the analogous statement holds true for the Bergman kernel $K_{Ω} (ς, ξ)$ on $Ω$ . Assuming that $(D; d s_{D}^{2})$ and $(Ω; d s_{Ω}^{2})$ are complete Kähler manifolds, we prove that the germ...

Extension of holomorphic bundles to the disc (and Serre’s Problem on Stein bundles)

Jean-Pierre Rosay (2007)

Annales de l’institut Fourier

Holomorphic bundles, with fiber $ℂ^{n}$ , defined on open sets in $ℂ$ by locally constant transition automorphisms, are shown to extend to holomorphic bundles on the Riemann sphere. In particular, it allows us to give an example of a non-Stein holomorphic bundle on the unit disc, with polynomial transition automorphisms.

Extension Theorems for Reductive Group Actions on Compact Kaehler Manifolds.

Andrew John Sommese (1975)

Mathematische Annalen

Fasthomogene Kählermannigfaltigkeiten mit verschwindender erster Bettizahl.

Eberhard Oeljeklaus (1972)

Manuscripta mathematica

Fibrés vectoriels holomorphes homogènes et J-représentations

P. Saillen (1972)

Commentarii mathematici Helvetici

Filtrations of meromorphic C* actions on complex manifolds.

Andrew John Sommese, James B. Carrell (1983)

Mathematica Scandinavica

Finiteness Results for Algebraic K3 Surfaces.

Hans Sterk (1985)

Mathematische Zeitschrift

Fixed points for automorphisms in Cartan domains of type IV

Chiara De Fabritiis (1991)

Rendiconti del Seminario Matematico della Università di Padova

Fixpunktmengen kompakter Gruppen in Teilgebieten Steinscher Mannigfaltigkeiten.

Peter Heinzner (1989)

Journal für die reine und angewandte Mathematik

Foliations with Degenerate Gauss maps on $ℙ^{4}$

Thiago Fassarella (2010)

Annales de l’institut Fourier

We obtain a classification of codimension one holomorphic foliations on $ℙ^{4}$ with degenerate Gauss maps.

Fonction zêta associée à la série principale sphérique de certains espaces symétriques

Nicole Bopp, Hubert Rubenthaler (1993)

Annales scientifiques de l'École Normale Supérieure

Formule de Gutzmer pour la complexification d'une espace Riemannien symétrique

Jacques Faraut (2002)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

A Gutzmer formula for the complexification of a Riemann symmetric space. We consider a complex manifold $Ω$ and a real Lie group $G$ of holomorphic automorphisms of $Ω$ . The question we study is, for a holomorphic function $f$ on $Ω$ , to evaluate the integral of ${|f|}^{2}$ over a $G$ -orbit by using the harmonic analysis of $G$ . When $Ω$ is an annulus in the complex plane and $G$ the rotation group, it is solved by a classical formula which is sometimes called Gutzmer’s formula. We establish a generalization of it when $Ω$ is...

Fractional derivatives of holomorphic functions on bounded symmetric domains of $ℂ^{n}$ .

Lou, Zengjian (1996)

International Journal of Mathematics and Mathematical Sciences

Free Actions of Finite Groups on Varieties. II.

Nicholas M. Katz, William Browder (1982)

Mathematische Annalen

Free Actions of Finite Groups on Varieties. II. (Erratum).

Nicholas M. Katz, William Browder (1983)

Mathematische Annalen

Function spaces on the Olśhanskiĭsemigroup and the Gel'fand-Gindikin program

Khalid Koufany, Bent Ørsted (1996)

Annales de l'institut Fourier

For the scalar holomorphic discrete series representations of $SU (2, 2)$ and their analytic continuations, we study the spectrum of a non-compact real form of the maximal compact subgroup inside $SU (2, 2)$ . We construct a Cayley transform between the Ol’shanskiĭ semigroup having $U (1, 1)$ as Šilov boundary and an open dense subdomain of the Hermitian symmetric space for $SU (2, 2)$ . This allows calculating the composition series in terms of harmonic analysis on $U (1, 1)$ . In particular we show that the Ol’shanskiĭ Hardy space for $U (1, 1)$ is different...

Fundamental group of locally symmetric varieties.

G.K. Sankaran (1996)

Manuscripta mathematica

Generalized Picard lattices arising from half-integral conditions

G. D. Mostow (1986)

Publications Mathématiques de l'IHÉS

Geometric invariant theory on Stein spaces.

Peter Heinzner (1991)

Mathematische Annalen

Geometric structures on the complement of a projective arrangement

Wim Couwenberg, Gert Heckman, Eduard Looijenga (2005)

Publications Mathématiques de l'IHÉS

Consider a complex projective space with its Fubini-Study metric. We study certain one parameter deformations of this metric on the complement of an arrangement (= finite union of hyperplanes) whose Levi-Civita connection is of Dunkl type. Interesting examples are obtained from the arrangements defined by finite complex reflection groups. We determine a parameter interval for which the metric is locally of Fubini-Study type, flat, or complex-hyperbolic. We find a finite subset of this interval for...

Currently displaying 121 – 140 of 442

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