Results 31 to 40 of about 799 (89)

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 PLURISUBHARMONIC MODELS [PDF]

, 2008
An analytic pair of dimension n and center V is a pair (V, M) where M is a complex manifold of (complex) dimension n and V ⊂ M is a closed totally real analytic submanifold of dimension n. To an analytic pair (V, M) we associate the class $\mathcal{U}(V,
G. Tomassini, S. Venturini
semanticscholar   +1 more source

Congruence Properties of Binary Partition Functions [PDF]

, 2011
Let $${\mathcal{A}}$$ be a finite subset of $${\mathbb{N}}$$ containing 0, and let f (n) denote the number of ways to write n in the form $${\sum \varepsilon _{j}2^{j}}$$ , where $${\varepsilon _{j} \epsilon \mathcal{A}}$$ .
K. Anders, Melissa Dennison, J. Lansing, B. Reznick   +3 more
semanticscholar   +1 more source

An extension theorem of holomorphic functions on hyperconvex domains [PDF]

Proceedings of the American Mathematical Society, 2018
Let n ≥ 3 n \geq 3 and let Ω \Omega be a bounded domain in C n \mathbb {C}^n with a smooth negative plurisubharmonic exhaustion function
Seungjae Lee, Yoshikazu Nagata
semanticscholar   +1 more source

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

Generalized Levi Currents and Singular Loci for Families of Plurisubharmonic Functions

The Journal of Geometric Analysis
We show how the formalism of Levi currents on complex manifolds, as introduced by Sibony, can be used to study the analytic structure of singular sets associated to families of plurisubharmonic functions, in the sense of Slodkowski.
Bianchi, Fabrizio, Mongodi, Samuele
openaire   +5 more sources

Reverse isoperimetric inequalities for Lagrangian intersection Floer theory

Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract We extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagrangian submanifolds with intersections locally modelled on Rn∩(Rk×−1Rn−k)$\mathbb {R}^n\cap (\mathbb {R}^{k}\times \sqrt {-1}\mathbb {R}^{n-k})$ inside Cn$\mathbb {C}
J. ‐P. Chassé, J. Hicks, Y. J. Nho
wiley   +1 more source

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