On proper discs in complex manifolds

Barbara Drinovec Drnovšek[1]

  • [1] University of Ljubljana Institute of Mathematics, Physics and Mechanics Jadranska 19 SI-1000 Ljubljana (Slovenia)

Annales de l’institut Fourier (2007)

  • Volume: 57, Issue: 5, page 1521-1535
  • ISSN: 0373-0956

Abstract

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Let X be a complex manifold of dimension at least 2 which has an exhaustion function whose Levi form has at each point at least 2 strictly positive eigenvalues. We construct proper holomorphic discs in X through any given point and in any given direction.

How to cite

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Drinovec Drnovšek, Barbara. "On proper discs in complex manifolds." Annales de l’institut Fourier 57.5 (2007): 1521-1535. <http://eudml.org/doc/10268>.

@article{Drinovec2007,
abstract = {Let $X$ be a complex manifold of dimension at least $2$ which has an exhaustion function whose Levi form has at each point at least $2$ strictly positive eigenvalues. We construct proper holomorphic discs in $X$ through any given point and in any given direction.},
affiliation = {University of Ljubljana Institute of Mathematics, Physics and Mechanics Jadranska 19 SI-1000 Ljubljana (Slovenia)},
author = {Drinovec Drnovšek, Barbara},
journal = {Annales de l’institut Fourier},
keywords = {Complex manifolds; proper holomorphic discs; complex manifolds},
language = {eng},
number = {5},
pages = {1521-1535},
publisher = {Association des Annales de l’institut Fourier},
title = {On proper discs in complex manifolds},
url = {http://eudml.org/doc/10268},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Drinovec Drnovšek, Barbara
TI - On proper discs in complex manifolds
JO - Annales de l’institut Fourier
PY - 2007
PB - Association des Annales de l’institut Fourier
VL - 57
IS - 5
SP - 1521
EP - 1535
AB - Let $X$ be a complex manifold of dimension at least $2$ which has an exhaustion function whose Levi form has at each point at least $2$ strictly positive eigenvalues. We construct proper holomorphic discs in $X$ through any given point and in any given direction.
LA - eng
KW - Complex manifolds; proper holomorphic discs; complex manifolds
UR - http://eudml.org/doc/10268
ER -

References

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  14. H. L. Royden, The extension of regular holomorphic maps, Proc. Amer. Math. Soc. 43 (1974), 306-310 Zbl0292.32019MR335851
  15. Walter Rudin, Real and complex analysis, (1987), McGraw-Hill Book Co., New York Zbl0925.00005MR924157

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