Holomorphic $\mathbb{C}$-fibrations and pseudoconvexity of general order

• Autores: Giuseppe Tomassini, Viorel Vâjâitu Vâjâitu
• Localización: Journal of mathematics of Kyoto University, ISSN 0023-608X, Vol. 46, Nº 4, 2006, págs. 693-700
• Idioma: inglés
• DOI: 10.1215/kjm/1250281599
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• Resumen

  • We consider a domain $D$ in $\mathbb{C}^{n}$ such that there is a Stein manifold $E$ which is a $\mathbb{C}$-fibration over $D$. Simple examples show that $D$ does not need to be Stein. However it cannot be arbitrarily and, in fact, we prove that $D$ is pseudoconvex of order $n-2$.