|
A remark on the Hard Lefschetz Theorem for Kähler orbifolds
Author(s):
Z.
Z.
Wang;
D.
Zaffran
Journal:
Proc. Amer. Math. Soc.
137
(2009),
2497-2501.
MSC (2000):
Primary 14F25;
Secondary 53C12
Posted:
March 20, 2009
MathSciNet review:
2497461
Retrieve article in:
PDF
Abstract |
References |
Similar articles |
Additional information
Abstract:
We give a proof of the Hard Lefschetz Theorem for orbifolds that does not involve intersection homology. We use a foliated version of the Hard Lefschetz Theorem due to El Kacimi.
References:
-
- [GHS]
- J. Girbau, A. Haefliger, D. Sundararaman, On deformations of transversely holomorphic foliations, J. Reine Angew. Math. 345 (1983), 122-147. MR 717890 (84j:32026)
- [G]
- H. Grauert, Über Modifikationen und exzeptionelle analytische Mengen, Math. Ann. 146 (1962), 331-368. MR 0137127 (25:583)
- [EK1]
- A. El Kacimi-Alaoui, Opérateurs transversalement elliptiques sur un feuilletage riemannien et applications, Compositio Mathematica 73 (1990), 57-106. MR 1042454 (91f:58089)
- [EK2]
- A. El Kacimi-Alaoui, Stabilité des
 -variétés kahlériennes, Lecture Notes in Math. 1345, 111-123. Springer, 1988. MR 980955 (90d:32035) - [Ful]
- W. Fulton, Introduction to toric varieties, Princeton University Press, 1993. MR 1234037 (94g:14028)
- [Jos]
- J. Jost, Riemannian geometry and geometric analysis, Third edition, Universitext. Springer, 2002. MR 1871261 (2002i:53001)
- [Ma]
- X. Masa, Duality and minimality in Riemannian foliations, Commentarii Mathematici Helvetici 67 (1992), 17-27. MR 1144611 (93g:53040)
- [Mo]
- P. Molino, Riemannian foliations, Progress in Mathematics 73. Birkhäuser, Boston, 1988. MR 932463 (89b:53054)
- [Pfl]
- M. Pflaum, Analytic and geometric study of stratified spaces, Lecture Notes in Mathematics 1768. Springer, 2001. MR 1869601 (2002m:58007)
- [Rum]
- H. Rummler, Quelques notions simples en géométrie riemannienne et leurs applications aux feuilletages compacts, Comment. Math. Helv. 54 (1979), 224-239. MR 535057 (80m:57021)
- [Ton]
- P. Tondeur, Geometry of foliations, Monographs in Mathematics 90. Birkhäuser Verlag, Basel, 1997. MR 1456994 (98d:53037)
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (2000):
14F25,
53C12
Retrieve articles in all Journals with
MSC (2000):
14F25,
53C12
Additional Information:
Z.
Z.
Wang
Affiliation:
Institute of Mathematics, Fudan University, Shanghai 200433, People's Republic of China
Email:
youxiang163wang@163.com
D.
Zaffran
Affiliation:
Institute of Mathematics, Fudan University, Shanghai 200433, People's Republic of China
Email:
zaffran@fudan.edu.cn
DOI:
10.1090/S0002-9939-09-09848-7
PII:
S 0002-9939(09)09848-7
Received by editor(s):
April 28, 2008
Posted:
March 20, 2009
Communicated by:
Jon G. Wolfson
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
|
