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of 299
pro vyhledávání: '"32u40"'
We prove that the Fubini-Study currents associated to a sequence of singular Hermitian holomorphic line bundles on a compact normal Moishezon space distribute asymptotically as the curvature currents of their metrics.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/2407.03193
Autor:
Lazić, Vladimir
The Abundance conjecture predicts that on a minimal projective klt pair $(X,\Delta)$, the adjoint divisor $K_X+\Delta$ is semiample. When $\chi(X,\mathcal O_X)\neq0$, we give a necessary and sufficient condition for the conjecture to hold in terms of
Externí odkaz:
http://arxiv.org/abs/2406.18233
Let $X$ be a compact normal complex space, $L$ be a big holomorphic line bundle on $X$ and $h$ be a continuous Hermitian metric on $L$. We consider the spaces of holomorphic sections $H^0(X, L^{\otimes p})$ endowed with the inner product induced by $
Externí odkaz:
http://arxiv.org/abs/2404.08116
Autor:
Boudreaux, Blake J.
We compare the $T$-polynomial convexity of Guedj with holomorphic convexity away from the support of $T$. In particular we show an Oka--Weil theorem for $T$-polynomial convexity, as well as present a situation when the notions of $T$-polynomial conve
Externí odkaz:
http://arxiv.org/abs/2402.18692
Autor:
Lazić, Vladimir, Xie, Zhixin
A rigid current on a compact complex manifold is a closed positive current whose cohomology class contains only one closed positive current. Rigid currents occur in complex dynamics, algebraic and differential geometry. The goals of the present paper
Externí odkaz:
http://arxiv.org/abs/2402.05807
Autor:
Dinh, Tien-Cuong, Zhong, Guolei
Let $f\colon X\to X$ be a dominant meromorphic self-map of a compact complex variety $X$ in the Fujiki class $\mathcal{C}$. If the topological degree of $f$ is strictly larger than the other dynamical degrees of $f$, we show that the number of isolat
Externí odkaz:
http://arxiv.org/abs/2312.02533
Autor:
Do, Thai Duong, Nguyen, Van Thien
We investigate the finite $p$-energy classes $E_p$ of quaternionic plurisubharmonic functions of Cegrell type. We also construct an example to show that the optimal constant in the energy estimate is strictly bigger than $1$ for $p>0$, $p\neq 1$. Thi
Externí odkaz:
http://arxiv.org/abs/2310.15453
Let $X$ be a compact normal complex space of dimension $n$ and $L$ be a holomorphic line bundle on $X$. Suppose that $\Sigma=(\Sigma_1,\ldots,\Sigma_\ell)$ is an $\ell$-tuple of distinct irreducible proper analytic subsets of $X$, $\tau=(\tau_1,\ldot
Externí odkaz:
http://arxiv.org/abs/2310.04770
Autor:
Xie, Song-Yan
First, inspired by a question of Sibony, we show that in every compact complex manifold $Y$ with certain Oka property, there exists some entire curve $f: \mathbb{C}\rightarrow Y$ generating all Nevanlinna/Ahlfors currents on $Y$, by holomorphic discs
Externí odkaz:
http://arxiv.org/abs/2309.04690
Autor:
Diller, Jeffrey, Roeder, Roland
We prove an equidistribution result for iterated preimages of curves by a large class of rational maps $f:\mathbb{CP}^2\dashrightarrow\mathbb{CP}^2$ that cannot be birationally conjugated to algebraically stable maps. The maps, which include recent e
Externí odkaz:
http://arxiv.org/abs/2304.00992