Regular holomorphic images of balls

John Erik Fornaess; Edgar Lee Stout

Annales de l'institut Fourier (1982)

  • Volume: 32, Issue: 2, page 23-36
  • ISSN: 0373-0956

Abstract

top
Every n -dimensional complex manifold (connected, paracompact and Hausdorff) is the image of the unit ball in C n under a finite holomorphic map that is locally biholomorphic.

How to cite

top

Fornaess, John Erik, and Stout, Edgar Lee. "Regular holomorphic images of balls." Annales de l'institut Fourier 32.2 (1982): 23-36. <http://eudml.org/doc/74539>.

@article{Fornaess1982,
abstract = {Every $n$-dimensional complex manifold (connected, paracompact and Hausdorff) is the image of the unit ball in $C^n$ under a finite holomorphic map that is locally biholomorphic.},
author = {Fornaess, John Erik, Stout, Edgar Lee},
journal = {Annales de l'institut Fourier},
keywords = {characterization of complex manifolds; holomorphic mappings; image of unit ball},
language = {eng},
number = {2},
pages = {23-36},
publisher = {Association des Annales de l'Institut Fourier},
title = {Regular holomorphic images of balls},
url = {http://eudml.org/doc/74539},
volume = {32},
year = {1982},
}

TY - JOUR
AU - Fornaess, John Erik
AU - Stout, Edgar Lee
TI - Regular holomorphic images of balls
JO - Annales de l'institut Fourier
PY - 1982
PB - Association des Annales de l'Institut Fourier
VL - 32
IS - 2
SP - 23
EP - 36
AB - Every $n$-dimensional complex manifold (connected, paracompact and Hausdorff) is the image of the unit ball in $C^n$ under a finite holomorphic map that is locally biholomorphic.
LA - eng
KW - characterization of complex manifolds; holomorphic mappings; image of unit ball
UR - http://eudml.org/doc/74539
ER -

References

top
  1. [1] D. H. BUSHNELL, Mapping a polydisc onto a complex manifold, Senior Thesis, Princeton University, 1976 (Princeton University Library). 
  2. [2] J. E. FORNAESS and E. L. STOUT, Spreading polydiscs on complex manifolds, Amer. J. Math., 99 (1977), 933-960. Zbl0384.32004MR57 #10009
  3. [3] J. E. FORNAESS and E. L. STOUT, Polydiscs in complex manifolds, Math. Ann., 227 (1977), 145-153. Zbl0331.32007MR55 #8401
  4. [4] S. KOBAYASHI, Hyperbolic Manifolds and Holomorphic Mappings, Marcel Dekker, New York, 1970. Zbl0207.37902MR43 #3503
  5. [5] A. I. MARKUSHEVICH, Theory of Functions of a Complex Variable, vol. III, Prentice-Hall, Englewood Cliffs, 1967. Zbl0148.05201MR35 #6799
  6. [6] E. M. STEIN, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, 1970. Zbl0207.13501MR44 #7280

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.