Zobrazeno 1 - 10
of 2 715
pro vyhledávání: '"Stein manifolds"'
Autor:
Boudreaux, Blake J., Shafikov, Rasul
We consider generalizations of rational convexity to Stein manifolds and prove related results
Externí odkaz:
http://arxiv.org/abs/2310.07066
We generalize a criterion for the density property of Stein manifolds. As an application, we give a new, simple proof of the fact that the Danielewski surfaces have the algebraic density property. Furthermore, we have found new examples of Stein mani
Externí odkaz:
http://arxiv.org/abs/2308.07015
We show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which is negative in the sense of Griffiths (resp. Nakano) can be approximated by a sequence of smooth Hermitian metrics with the same curvature negativity.
Externí odkaz:
http://arxiv.org/abs/2309.04964
Autor:
Alarcon, Antonio, Forstneric, Franc
Publikováno v:
Mediterr. J. Math. 21, No. 1, Paper No. 25, 16 p. (2024)
Let $X$ be a Stein manifold of complex dimension $n>1$ endowed with a Riemannian metric $\mathfrak{g}$. We show that for every integer $k$ with $\left[\frac{n}{2}\right] \le k \le n-1$ there is a nonsingular holomorphic foliation of dimension $k$ on
Externí odkaz:
http://arxiv.org/abs/2305.06030
Autor:
Arosio, Leandro, Larusson, Finnur
We study the dynamics of a generic automorphism $f$ of a Stein manifold with the density property. Such manifolds include all linear algebraic groups. Even in the special case of $\mathbb C^n$, $n\geq 2$, most of our results are new. We study the Jul
Externí odkaz:
http://arxiv.org/abs/2303.05002
Autor:
Bao, Shijie, Guan, Qi'an
In this article, we consider Bergman kernels related to modules at boundary points on Stein manifolds, and obtain a log-subharmonicity property of the Bergman kernels. As applications, we obtain a lower estimate of weighted $L^2$ integrals on Stein m
Externí odkaz:
http://arxiv.org/abs/2205.08044
Autor:
Aytuna, Aydın
In this paper, we explore the existence of pluricomplex Green functions for Stein manifolds from a functional analysis point of view. For a Stein manifold $M$, we will denote by $O(M)$ the Fr\'echet space of analytic functions on $M$ equipped with th
Externí odkaz:
http://arxiv.org/abs/2112.13212