Analytic Sets and Complex Spaces

Junjiro Noguchi ()
Additional contact information
Junjiro Noguchi: The University of Tokyo

Chapter Chapter 6 in Analytic Function Theory of Several Variables, 2016, pp 203-279 from Springer

Abstract: Abstract Here we study the properties of singular analytic sets and complex spaces. The central theme of the first half of this chapter is “Oka’s Second Coherence Theorem”, claiming the coherence of a geometric ideal sheaf (the ideal sheaf of an analytic set). By making use of it, the subset of singular points of an analytic set is proved to be an analytic subset of lower dimension. In the latter half, the notion of a complex space is introduced. Oka’s normalization theorem, which reduces a singular point to a normal one with better property, and “Oka’s Third Coherence Theorem” claiming the coherence of the normalization sheaf are proved.

Date: 2016
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:978-981-10-0291-5_6

Ordering information: This item can be ordered from
http://www.springer.com/9789811002915

DOI: 10.1007/978-981-10-0291-5_6

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 ().