Zobrazeno 1 - 10
of 32 043
pro vyhledávání: '"Mathematics - Complex Variables"'
We classify singular holomorphic vector fields in two-dimensional complex space admitting a (Levi-nonflat) real-analytic invariant 3-fold through the singularity. In this way, we complete the classification of infinitesimal symmetries of real-analyti
Externí odkaz:
http://arxiv.org/abs/2408.05186
Autor:
Sun, Jingzhou
We study the Bergman embeddings of degenerating families of K\"{a}hler-Einsten manifolds of negative curvature. In one special case, we show that we can construct orthonormal bases so that the induced Bergman embeddings converge to the Bergman embedd
Externí odkaz:
http://arxiv.org/abs/2408.04824
Autor:
Biswas, Indranil, Hajra, Buddhadev
A topological space (not necessarily simply connected) is said to have finite homotopy rank-sum if the sum of the ranks of all higher homotopy groups (from the second homotopy group onward) is finite. In this article, we characterize the smooth compa
Externí odkaz:
http://arxiv.org/abs/2408.04558
Autor:
Khanh, Tran Vu, Raich, Andrew
We establish general sufficient conditions for exact (and global) regularity in the $\bar\partial$-Neumann problem on $(p,q)$-forms, $0 \leq p \leq n$ and $1\leq q \leq n$, on a pseudoconvex domain $\Omega$ with smooth boundary $b\Omega$ in an $n$-di
Externí odkaz:
http://arxiv.org/abs/2408.04512
Autor:
Okuyama, Yûsuke
For a rational function $\phi$ on $\mathbb{P}^1$ defined over an algebraically closed and complete non-archimedean non-trivially valued field $K$, we introduce the intrinsic reduction at each point in the Berkovich projective line and the directionwi
Externí odkaz:
http://arxiv.org/abs/2408.04415
Let $\sigma : \mathbb C^d \rightarrow \mathbb C^d$ be an affine-linear involution such that $J_\sigma = -1$ and let $U, V$ be two domains in $\mathbb C^d$ with $U$ being $\sigma$-invariant. Let $\phi : U \rightarrow V$ be a $\sigma$-invariant $2$-pro
Externí odkaz:
http://arxiv.org/abs/2408.04384
Autor:
D'Agnolo, Andrea, Kashiwara, Masaki
The original Riemann-Hilbert problem asks to find a Fuchsian ordinary differential equation with prescribed singularities and monodromy in the complex line. In the early 1980's Kashiwara solved a generalized version of the problem, valid on complex m
Externí odkaz:
http://arxiv.org/abs/2408.04260
In this paper we study germs of holomorphic foliations, at the origin of the complex plane, tangent to Pfaffian hypersurfaces - integral hypersurfaces of real analytic 1-forms - satisfying the Rolle-Khovanskii condition. This hypothesis leads us to c
Externí odkaz:
http://arxiv.org/abs/2408.03914
Autor:
Sumi, Hiroki
This paper deals with random dynamical systems of polynomial automorphisms (complex generalized H\'{e}non maps and their conjugate maps) of $\Bbb{C}^{2}.$ We show that a generic random dynamical system of polynomial automorphisms has ``mean stablity'
Externí odkaz:
http://arxiv.org/abs/2408.03577
Autor:
Chen, Gangqiang
Let $\mathcal{H}$ be the class of all analytic self-maps of the open unit disk $\mathbb{D}$. Denote by $H^n f(z)$ the $n$-th order hyperbolic derivative of $f\in \mathcal H$ at $z\in \mathbb{D}$. For $z_0\in \mathbb{D}$ and $\gamma = (\gamma_0, \gamm
Externí odkaz:
http://arxiv.org/abs/2408.04030