Results 51 to 60 of about 281,581 (216)

Kähler metrics with constant weighted scalar curvature and weighted K‐stability [PDF]

Proceedings of the London Mathematical Society, 2018
We introduce a notion of a Kähler metric with constant weighted scalar curvature on a compact Kähler manifold X , depending on a fixed real torus T in the reduced group of automorphisms of X , and two smooth (weight) functions v>0 and w , defined on the ...
Abdellah Lahdili
semanticscholar   +1 more source

Minimal projective varieties satisfying Miyaoka's equality

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract In this paper, we establish a structure theorem for a minimal projective klt variety X$X$ satisfying Miyaoka's equality 3c2(X)=c1(X)2$3c_2(X) = c_1(X)^2$. Specifically, we prove that the canonical divisor KX$K_X$ is semi‐ample and that the Kodaira dimension κ(KX)$\kappa (K_X)$ is equal to 0, 1, or 2. Furthermore, based on this abundance result,
Masataka Iwai, Shin‐ichi Matsumura, Niklas Müller   +2 more
wiley   +1 more source

Liouville Theorems and a Schwarz Lemma for Holomorphic Mappings Between Kähler Manifolds [PDF]

Communications on Pure and Applied Mathematics, 2018
We derive some consequences of the Liouville theorem for plurisubharmonic functions of L.‐F. Tam and the author. The first result provides a nonlinear version of the complex splitting theorem (which splits off a factor of ℂ isometrically from the simply ...
Lei Ni
semanticscholar   +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

On the constant scalar curvature Kähler metrics (I)—A priori estimates

Journal of The American Mathematical Society, 2017
In this paper, we derive apriori estimates for constant scalar curvature Kähler metrics on a compact Kähler manifold. We show that higher order derivatives can be estimated in terms of a C 0 C^0 bound for the Kähler potential.
Xiuxiong Chen, Jingrui Cheng
semanticscholar   +1 more source

Exploring the Validation Results of the Advanced Solar Particle Events Casting System (ASPECS)

Space Weather, Volume 23, Issue 11, November 2025.
Abstract Solar Energetic Particle (SEP) events can adversely affect space and ground‐based systems. Space weather effects associated with SEP events can impact communication and navigation systems, spacecraft electronics and operations, space power systems, crewed space missions, and commercial aircraft operations.
Athanasios Papaioannou, George Vasalos, Kathryn Whitman, Philip Quinn, Anastasios Anastasiadis, Markus Leila Mays, Janet Barzilla, Chinwe Didigu, Christopher Light, Claudio Corti, Joycelyn Jones, Anna Chulaki, Hannah Hermann, Edward Semones   +13 more
wiley   +1 more source

Improvement of non-integrated defect relation for meromorphic maps from Kähler manifolds [PDF]

, 2023
T. Ngoc, Si Duc Quang
openalex   +1 more source

Existence and orthogonality of stable envelopes for bow varieties

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3249-3306, November 2025.
Abstract Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. They are part of a fascinating interplay between geometry, combinatorics and integrable systems. In this expository article, we give a self‐contained introduction to cohomological stable envelopes of type A$A$
Catharina Stroppel, Till Wehrhan
wiley   +1 more source

First Robin Eigenvalue of the Laplacian on Kähler and Quaternionic Kähler Manifolds

Mathematics
We investigate the first Robin eigenvalue of the Laplacian on Kähler and quaternionic Kähler manifolds. First, we establish Cheng-type eigenvalue comparison theorems for Kähler manifolds under lower bounds on holomorphic sectional curvature and ...
Shaoheng Zhang, Weijie Zhu
doaj   +1 more source

On discrete subgroups of the complex unit ball

Mathematische Nachrichten, Volume 298, Issue 10, Page 3272-3286, October 2025.
Abstract In this paper, we study conditions for a discrete subgroup of the automorphism group of the n$n$‐dimensional complex unit ball to be of convergence type or second kind, connecting these classifications to the existence of Green's functions and subharmonic or harmonic functions on its quotient space.
Aeryeong Seo
wiley   +1 more source