Results 21 to 30 of about 630 (56)

Injectivity theorem for pseudo-effective line bundles and its applications [PDF]

, 2017
We formulate and establish a generalization of Koll'ar's injectivity theorem for adjoint bundles twisted by a suitable multiplier ideal sheaf. As applications, we generalize Koll'ar's vanishing theorem, Koll'ar's torsion-freeness, generic vanishing ...
Fujino, Osamu, Matsumura, Shin-ichi
core   +2 more sources

A minimum principle for plurisubharmonic functions

, 2007
The main goal of this work is to give new and precise generalizations to various classes of plurisubharmonic functions of the classical minimum modulus principle for holomorphic functions of one complex variable, in the spirit of the famous lemma of ...
Zeriahi, Ahmed
core   +4 more sources

Parabolic stein manifolds [PDF]

, 2011
An open Riemann surface is called parabolic in case every bounded subharmonic function on it reduces to a constant. Several authors introduced seemingly different analogs of this notion for Stein manifolds of arbitrary dimension.
Aytuna, Aydın, Aytuna, Aydin, Sadullaev, Azimbay   +2 more
core   +4 more sources

Maximal subextensions of plurisubharmonic functions

, 2010
In this paper we are concerned with the problem of local and global subextensions of (quasi-)plurisubharmonic functions from a "regular" subdomain of a compact K\"ahler manifold.
Cegrell, U., Kołodziej, S., Zeriahi, A.
core   +3 more sources

Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3

Abstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018
Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)<∞ where z0 ∈ bΩ, the boundary of Ω. Then we get optimal estimates of the Bergman kernel function along some “almost tangential curve” Cb(z0, δ0) ⊂ Ω ∪ {z0}.
Sanghyun Cho, Milan Pokorny
wiley   +1 more source

Persistence of unknottedness of clean Lagrangian intersections

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract Let Q0$Q_0$ and Q1$Q_1$ be two Lagrangian spheres in a six‐dimensional symplectic manifold. Assume that Q0$Q_0$ and Q1$Q_1$ intersect cleanly along a circle that is unknotted in both Q0$Q_0$ and Q1$Q_1$. We prove that there is no nearby Hamiltonian isotopy of Q0$Q_0$ and Q1$Q_1$ to a pair of Lagrangian spheres meeting cleanly along a circle ...
Johan Asplund, Yin Li
wiley   +1 more source

Entire Functions of Bounded L‐Index: Its Zeros and Behavior of Partial Logarithmic Derivatives

Journal of Complex Analysis, Volume 2017, Issue 1, 2017., 2017
In this paper, we obtain new sufficient conditions of boundedness of L‐index in joint variables for entire function in Cn functions. They give an estimate of maximum modulus of an entire function by its minimum modulus on a skeleton in a polydisc and describe the behavior of all partial logarithmic derivatives and the distribution of zeros.
Andriy Bandura, Oleh Skaskiv, Stanislawa Kanas   +2 more
wiley   +1 more source

On uniqueness of solutions to complex Monge–Ampère mean field equations

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3163-3180, October 2025.
Abstract We establish the uniqueness of solutions to complex Monge–Ampère mean field equations when (minus) the temperature parameter is small. In the local setting of bounded hyperconvex domains, our result partially confirms a conjecture by Berman and Berndtsson. Our approach also extends to the global context of compact complex manifolds.
Chinh H. Lu, Trong‐Thuc Phung
wiley   +1 more source

On Functions of Several Split‐Quaternionic Variables

Advances in Mathematical Physics, Volume 2016, Issue 1, 2016., 2016
Alesker studied a relation between the determinant of a quaternionic Hessian of a function and a specific complex volume form. In this note we show that similar relation holds for functions of several split‐quaternionic variables and point to some relations with geometry.
Gueo Grantcharov, Camilo Montoya, Ricardo Weder   +2 more
wiley   +1 more source

On a higher dimensional worm domain and its geometric properties

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We construct new three‐dimensional variants of the classical Diederich–Fornæss worm domain. We show that they are smoothly bounded, pseudoconvex, and have nontrivial Nebenhülle. We also show that their Bergman projections do not preserve the Sobolev space for sufficiently large Sobolev indices.
Steven G. Krantz, Marco M. Peloso, Caterina Stoppato   +2 more
wiley   +1 more source