On discs in bidiscs
Complex Variables
2020-03-10 v1
Authors:
Josip Globevnik
Abstract
Let U be the closed unit disc in C. We show that there is no continuous map F:U-->U^2, holomorphic on Int(U) and such that F(bU) = b(U^2).
Cite
@article{arxiv.2003.04107,
title = {On discs in bidiscs},
author = {Josip Globevnik},
journal= {arXiv preprint arXiv:2003.04107},
year = {2020}
}
Comments
2 pages
Related papers
View all related →
Complex Variables · Mathematics
Boundary continuity of complete proper holomorphic maps
Josip Globevnik
2014-11-07
Complex Variables · Mathematics
Embedding complete holomorphic discs through discrete sets
Josip Globevnik
2016-04-05
Complex Variables · Mathematics
Proper holomorphic discs in C^2
Franc Forstneric, Josip Globevnik
2007-05-23
Complex Variables · Mathematics
Proper holomorphic disks in the complement of varieties in \C^2
Stefan Borell, Frank Kutzschebauch, Erlend Fornaess Wold
2007-07-25
Complex Variables · Mathematics
Analyticity of functions analytic on circles
Josip Globevnik
2009-06-09
Complex Variables · Mathematics
Holomorphic motions and complex geometry
Hervé Gaussier, Harish Seshadri
2016-12-20
Complex Variables · Mathematics
A properly embedded holomorphic disc in the ball with finite area and dense boundary curve
Franc Forstneric
2019-10-15
Differential Geometry · Mathematics
Tight maps and holomorphicity, exceptional spaces
Oskar Hamlet, Takayuki Okuda
2014-10-30
Complex Variables · Mathematics
A note on polyharmonic mappings
Daoud Bshouty, Stavros Evdoridis, Antti Rasila
2020-12-09
Complex Variables · Mathematics
On Closed Invariant Sets in Local Dynamics
Cinzia Bisi
2008-08-13
Complex Variables · Mathematics
Proper discs in Stein manifolds avoiding complete pluripolar sets
Barbara Drinovec Drnovsek
2007-05-23
Complex Variables · Mathematics
Holomorphic discs with dense images
Franc Forstneric, Joerg Winkelmann
2007-05-23
General Topology · Mathematics
Fixed points in non-invariant plane continua
Alexander Blokh, Lex Oversteegen
2016-01-25
Complex Variables · Mathematics
On holomorphic matrices on bordered Riemann surfaces
Jürgen Leiterer
2021-02-24
Symplectic Geometry · Mathematics
The Calabi invariant for Hamiltonian diffeomorphisms of the unit disk
Benoît Joly
2021-02-19
Algebraic Topology · Mathematics
Diffeomorphisms of odd-dimensional discs, glued into a manifold
Johannes Ebert
2023-08-02
Geometric Topology · Mathematics
On imbedding of closed 2-dimensional disks into $R^2$
Eugene Polulyakh
2007-05-23
Metric Geometry · Mathematics
A specific model of Hilbert geometry on the unit disc
Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas
2023-10-16
Dynamical Systems · Mathematics
No smooth Julia sets for polynomial diffeomorphisms of $\mathbb{C}^2$ with positive entropy
Eric Bedford, Kyounghee Kim
2015-07-21
Complex Variables · Mathematics
Topological genericity of nowhere differentiable functions in the disc and polydisc algebras
Alexandros Eskenazis, Konstantinos Makridis
2018-10-11
Complex Variables · Mathematics
A decomposition of functions with zero means on circles
Josip Globevnik
2007-05-23
Geometric Topology · Mathematics
The Euler Class and Flux Homomorphisms under Non-Orientability
KyeongRo Kim, Shuhei Maruyama
2025-08-19
Complex Variables · Mathematics
Analytic Discs and Uniform Algebras on Real-Analytic Varieties
Alexander J. Izzo
2017-10-10
Complex Variables · Mathematics
A Landau's theorem in several complex variables
Cinzia Bisi
2016-08-02
Complex Variables · Mathematics
A counterexample to parabolic dichotomies in holomorphic iteration
Leandro Arosio, Filippo Bracci, Herv/'e Gaussier
2024-03-05