## Bulletin of the Belgian Mathematical Society - Simon Stevin

### A Local extension of proper holomorphic maps between some unbounded domains in ${\mathbb C}^n$

#### Abstract

In this paper we study analytic sets extending the graph of proper holomorphic mappings. As applications, we present some results on the local holomorphic extension of proper holomorphic mappings between certain algebraic domains in ${\mathbb C}^n$, not necessarily bounded. Further supplementary results are obtained.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 17, Number 3 (2010), 513-534.

Dates
First available in Project Euclid: 15 September 2010

https://projecteuclid.org/euclid.bbms/1284570736

Digital Object Identifier
doi:10.36045/bbms/1284570736

Mathematical Reviews number (MathSciNet)
MR2731372

Zentralblatt MATH identifier
1205.32015

#### Citation

Ayed, Besma; Ourimi, Nabil. A Local extension of proper holomorphic maps between some unbounded domains in ${\mathbb C}^n$. Bull. Belg. Math. Soc. Simon Stevin 17 (2010), no. 3, 513--534. doi:10.36045/bbms/1284570736. https://projecteuclid.org/euclid.bbms/1284570736