Remarks on Homogeneous Complex Manifolds Satisfying Levi Conditions

Alan Huckleberry

Bollettino dell'Unione Matematica Italiana (2010)

  • Volume: 3, Issue: 1, page 1-23
  • ISSN: 0392-4041

Abstract

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Homogeneous complex manifolds satisfying various types of Levi conditions are considered. Classical results which were of particular interest to Andreotti are recalled. Convexity and concavity properties of flag domains are discussed in some detail. A precise classification of pseudoconvex flag domains is given. It is shown that flag domains which are in a certain sense generic are pseudoconcave.

How to cite

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Huckleberry, Alan. "Remarks on Homogeneous Complex Manifolds Satisfying Levi Conditions." Bollettino dell'Unione Matematica Italiana 3.1 (2010): 1-23. <http://eudml.org/doc/290678>.

@article{Huckleberry2010,
abstract = {Homogeneous complex manifolds satisfying various types of Levi conditions are considered. Classical results which were of particular interest to Andreotti are recalled. Convexity and concavity properties of flag domains are discussed in some detail. A precise classification of pseudoconvex flag domains is given. It is shown that flag domains which are in a certain sense generic are pseudoconcave.},
author = {Huckleberry, Alan},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {1-23},
publisher = {Unione Matematica Italiana},
title = {Remarks on Homogeneous Complex Manifolds Satisfying Levi Conditions},
url = {http://eudml.org/doc/290678},
volume = {3},
year = {2010},
}

TY - JOUR
AU - Huckleberry, Alan
TI - Remarks on Homogeneous Complex Manifolds Satisfying Levi Conditions
JO - Bollettino dell'Unione Matematica Italiana
DA - 2010/2//
PB - Unione Matematica Italiana
VL - 3
IS - 1
SP - 1
EP - 23
AB - Homogeneous complex manifolds satisfying various types of Levi conditions are considered. Classical results which were of particular interest to Andreotti are recalled. Convexity and concavity properties of flag domains are discussed in some detail. A precise classification of pseudoconvex flag domains is given. It is shown that flag domains which are in a certain sense generic are pseudoconcave.
LA - eng
UR - http://eudml.org/doc/290678
ER -

References

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