Results 21 to 30 of about 649 (108)
A Partial Differential Equation‐Based Image Restoration Method in Environmental Art Design
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 With the rapid development of networks and the emergence of various devices, images have become the main form of information transmission in real life. Image restoration, as an important branch of image processing, can be applied to real‐life situations such as pixel loss in image transmission or network prone to packet loss.
Chen Li, Miaochao Chen
wiley +1 more source
Canonical complex extensions of Kähler manifolds
Journal of the London Mathematical Society, Volume 101, Issue 2, Page 786-827, April 2020., 2020 Abstract Given a complex manifold X, any Kähler class defines an affine bundle over X, and any Kähler form in the given class defines a totally real embedding of X into this affine bundle. We formulate conditions under which the affine bundles arising this way are Stein and relate this question to other natural positivity conditions on the tangent ...
Daniel Greb, Michael Lennox Wong
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On Multiscale RBF Collocation Methods for Solving the Monge–Ampère Equation
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 This paper considers some multiscale radial basis function collocation methods for solving the two‐dimensional Monge–Ampère equation with Dirichlet boundary. We discuss and study the performance of the three kinds of multiscale methods. The first method is the cascadic meshfree method, which was proposed by Liu and He (2013).
Zhiyong Liu +2 more
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Semi-continuity of complex singularity exponents and Kähler-Einstein metrics on Fano orbifolds [PDF]
, 2000 We introduce complex singularity exponents of plurisubharmonic functions and prove a general semi-continuity result for them. This concept contains as a special case several similar concepts which have been considered e.g. by Arnold and Varchenko, mostly
Demailly, Jean-Pierre, Kollár, János
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On the Moser-Trudinger inequality in complex space
, 2018 In this paper we prove the pluricomplex counterpart of the Moser-Trudinger and Sobolev inequalities in complex space. We consider these inequalities for plurisubharmonic functions with finite pluricomplex energy, and we estimate the concerned ...
Ahag, Per, Czyz, Rafal
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The Eigenvalue Problem for the Complex Monge–Ampère Operator [PDF]
, 2023 Papa Badiane, Ahmed Zériahi
openalex +3 more sources
On the singularity type of full mass currents in big cohomology classes
, 2017 Let $X$ be a compact K\"ahler manifold and $\{\theta\}$ be a big cohomology class. We prove several results about the singularity type of full mass currents, answering a number of open questions in the field.
Darvas, Tamás +2 more
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Lelong numbers and vector bundles [PDF]
, 2017 We study Lelong numbers and integrability indices for $S^1$-invariant singular metrics on vector bundles over the disk.Comment: Dedicated to the memory of G.M. Henkin.
Berndtsson, Bo
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A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
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Unitarily invariant valuations on convex functions
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Continuous, dually epi‐translation invariant valuations on the space of finite‐valued convex functions on Cn$\mathbb {C}^n$ that are invariant under the unitary group are investigated. It is shown that elements belonging to the dense subspace of smooth valuations admit a unique integral representation in terms of two families of Monge–Ampère ...
Jonas Knoerr
wiley +1 more source