Zobrazeno 1 - 10
of 984
pro vyhledávání: '"Zeriahi, A."'
Autor:
Aoi, Takahiro
In this paper, we prove the Skoda-Zeriahi type integrability theorem with respect to some measure with $L^1$-density. In addition, we introduce the log-log threshold in order to detect singularities of K\"{a}hler potentials. We prove the positivity o
Externí odkaz:
http://arxiv.org/abs/2403.19553
We establish upper bounds on the diameter of compact K\"ahler manifolds endowed with K\"ahler metrics whose volume form satisfies an Orlicz integrability condition. Our results extend previous estimates due to Fu-Guo-Song, Y.Li, and Guo-Phong-Song-St
Externí odkaz:
http://arxiv.org/abs/2310.20482
Publikováno v:
Annales de la Faculté des sciences de Toulouse : Mathématiques. 31:i-v
Autor:
Badiane, Papa, Zeriahi, Ahmed
Let $1 \leq m \leq n$ be two integers and $\Omega \Subset \C^n$ a bounded $m$-hyperconvex domain in $\C^n$. Using a variational approach, we prove the existence of the first eigenvalue and an associated eigenfunction which is $m$-subharmonic with fin
Externí odkaz:
http://arxiv.org/abs/2306.04437
Autor:
Badiane, Papa, Zeriahi, Ahmed
Publikováno v:
Journal of Geometric Analysis, 33, Article number: 367 (2023)
We prove the existence of the first eigenvalue and an associated eigenfunction with Dirichlet condition for the complex Monge-Amp\`ere operator on a bounded strongly pseudoconvex domain in $\C^n$. We show that the eigenfunction is plurisubharmonic, s
Externí odkaz:
http://arxiv.org/abs/2306.03285
K\"ahler-Einstein currents, also known as singular K\"ahler-Einstein metrics, have been introduced and constructed a little over a decade ago. These currents live on mildly singular compact K\"ahler spaces $X$ and their two defining properties are th
Externí odkaz:
http://arxiv.org/abs/2305.12422
Kniha
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Elaini, Hadhami, Zeriahi, Ahmed
Publikováno v:
Ann. Polon. Math. 2023
Let $1\leq m\leq n$ be two fixed integers. Let $\Omega \Subset \mathbb C^n$ be a bounded $m$-hyperconvex domain and $\mathcal A \subset \Omega \times ]0,+ \infty[$ a finite set of weighted poles. We define and study properties of the $m$-subharmonic
Externí odkaz:
http://arxiv.org/abs/2206.05527
Let $(V,\omega)$ be a compact K\"ahler manifold such that $V$ admits a cover by Zariski-open Stein sets with the property that $\omega$ has a strictly plurisubharmonic exhaustive potential on each element of the cover. If $X\subset V$ is an analytic
Externí odkaz:
http://arxiv.org/abs/2202.01325
Autor:
Sławomir Kołodziej
Publikováno v:
Jahresbericht der Deutschen Mathematiker-Vereinigung. 120:229-232