Meromorphic Functions and Subvarieties

Paul M. Gauthier
Additional contact information
Paul M. Gauthier: Université de Montréal, Départment de Mathématiques et de Statistique

Chapter Chapter 15 in Lectures on Several Complex Variables, 2014, pp 101-105 from Springer

Abstract: Abstract This final chapter introduces two difficult subjects, which are unavoidable. We must study meromorphic functions if we are to deal with such simple “functions” as z∕w. Moreover, we must study varieties, since the set of zeros of a holomorphic function is a variety. These two subjects are closely related, for the difficulty in studying a meromorphic “function” f∕g arises from the zeros of the denominator.

Keywords: Riemann Surface; Holomorphic Function; Meromorphic Function; Restriction Mapping; Complex Manifold (search for similar items in EconPapers)
Date: 2014
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-11511-5_15

Ordering information: This item can be ordered from
http://www.springer.com/9783319115115

DOI: 10.1007/978-3-319-11511-5_15

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().