Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Help
ISSN 1088-6826(e) ISSN 0002-9939(p)

Traces of convex domains

Author(s): Cezar Joita
Journal: Proc. Amer. Math. Soc. 131 (2003), 2721-2725.
MSC (2000): Primary 32C15, 32E10, 32Q28
Posted: April 21, 2003
MathSciNet review: 1974328
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: Diederich and Ohsawa proved that in $\mathbb{P}^{5}$ there exists a locally hyperconvex, Stein open subset which is not hyperconvex. In this paper we generalize their results.

References:

[1]: J. P. Demailly, Cohomology of -convex spaces in top degrees, Math. Z. 204 (2) (1990), 283-295. MR 91e:32014
[2]: K. Diederich; T. Ohasawa, On pseudoconvex domains in ${\mathbb P} ^{n}$ , Tokyo J. Math. 21 (1998), 353-358. MR 99k:32024
[3]: T. Ohsawa, A Stein domain with smooth boundary which has a product structure, Publ. Res. Inst. Math. Sci. 18 (1982), 1185-1186. MR 84i:32022
[4]: Y. T. Siu, Every Stein subvariety admits a Stein neighborhood, Invent. Math. 38 (1976/77), 89-100. MR 55:8407
[5]: V. Vâjâitu, On locally hyperconvex morphisms, C. R. Acad. Sci. Paris Seer. I Math. 322 (9) (1996), 823-828. MR 97b:32014
[6]: J. Varouchas, Stabilité de la classe des variétés käleriénnes par certains morphismes propres, Invent. Math. 77 (1) (1984), 117-127. MR 86a:32026
[7]: H. Wu, On certain Kähler manifolds which are -complete, Complex analysis of several variables (Madison, Wis., 1982), Proc. Sympos. Pure Math., vol. 41., pp. 253-276. MR 85j:32031

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|