IJPAM: Volume 20, No. 4 (2005)

COHERENT RINGS OF HOLOMORPHIC FUNCTIONS

E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]


Abstract.Here we rise the following question and give a few remarks concerining it. For which complex spaces $X$ and $S\subseteq X$, is the ring $\mathcal {O}_X(S)$ of germs of holomorphic functions around $S$ coherent? Is the ring $\mathcal {O}(X)$ of holomorphic functions on $X$ coherent.

Received: March 1, 2005

AMS Subject Classification: 32A38, 32E10, 32K05

Key Words and Phrases: coherent ring, ring of holomorphic functions, Stein compact, Stein complex surface

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 20
Issue: 4