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Displaying 381 – 400 of 403

Vector bundles on non-Kaehler elliptic principal bundles

Vasile Brînzănescu, Andrei D. Halanay, Günther Trautmann (2013)

Annales de l’institut Fourier

We study relatively semi-stable vector bundles and their moduli on non-Kähler principal elliptic bundles over compact complex manifolds of arbitrary dimension. The main technical tools used are the twisted Fourier-Mukai transform and a spectral cover construction. For the important example of such principal bundles, the numerical invariants of a 3-dimensional non-Kähler elliptic principal bundle over a primary Kodaira surface are computed.

Vollständige Durchschnitte in Steinschen Mannigfaltigkeiten.

M. SCHNEIDER (1970)

Mathematische Annalen

Weak analytic hyperbolicity of generic hypersurfaces of high degree in $ℙ^{4}$

Erwan Rousseau (2007)

Annales de la faculté des sciences de Toulouse Mathématiques

In this article we prove that every entire curve in a generic hypersurface of degree $d \geq 593$ in $ℙ_{ℂ}^{4}$ is algebraically degenerated i.e there exists a proper subvariety which contains the entire curve.

Weak symplectic fillings and holomorphic curves

Klaus Niederkrüger, Chris Wendl (2011)

Annales scientifiques de l'École Normale Supérieure

We prove several results on weak symplectic fillings of contact $3$ -manifolds, including: (1) Every weak filling of any planar contact manifold can be deformed to a blow up of a Stein filling. (2) Contact manifolds that have fully separating planar torsion are not weakly fillable—this gives many new examples of contact manifolds without Giroux torsion that have no weak fillings. (3) Weak fillability is preserved under splicing of contact manifolds along symplectic pre-Lagrangian tori—this gives many...

Weakly Ample Kähler Manifolds and Euler Number.

Brian Smyth (1976)

Mathematische Annalen

Yang-Mills connections over compact strongly pseudoconvex CR manifolds.

Hajime Urakawa (1994)

Mathematische Zeitschrift

ω-pluripolar sets and subextension of ω-plurisubharmonic functions on compact Kähler manifolds

Le Mau Hai, Nguyen Van Khue, Pham Hoang Hiep (2007)

Annales Polonici Mathematici

We establish some results on ω-pluripolarity and complete ω-pluripolarity for sets in a compact Kähler manifold X with fundamental form ω. Moreover, we study subextension of ω-psh functions on a hyperconvex domain in X and prove a comparison principle for the class 𝓔(X,ω) recently introduced and investigated by Guedj-Zeriahi.