Abstract
In studying families of holomorphic maps between complex manifolds it becomes necessary to generalize the notion of a complex manifold by allowing certain singular points. The notion of a complex space developed by H. Cartan and J. P. Serre is widely used for this purpose. Roughly speaking, a complex space is a ℂ-ringed Hausdorff space which looks locally like an analytic variety (a complex model space, to be precise) in D where D is a complex domain. In Section 1 we give a quick review of complex spaces and analytic families. The interested reader may consult [Narasimhan, Gunning-Rossi, or Grauert-Remmert] for further details and proofs.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Yang, K. (1999). Analytic and Algebraic Families. In: Meromorphic Functions and Projective Curves. Mathematics and Its Applications, vol 464. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9151-5_2
Download citation
DOI: https://doi.org/10.1007/978-94-015-9151-5_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5149-3
Online ISBN: 978-94-015-9151-5
eBook Packages: Springer Book Archive