Modular Subgerms and the Isomorphism Problem in Deformation Theory

Stieber, Harald

doi:10.1007/978-3-322-86856-5_44

Harald Stieber³

Part of the book series: Aspects of Mathematics ((ASMA,volume 1))

393 Accesses

Abstract

In general two deformations with isomorphic fibers are not isomorphic as deformations. The paper gives conditions under which this is true.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 84.99; Price excludes VAT (USA)

Softcover Book: USD 109.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

References

I. F. Donin, Conditions for Triviality of Deformations of Complex Structure, Math. USSR Sbornik, Vol. 10 (1970), No. 4., 557–567.
Article MATH Google Scholar
A. Douady, Le problème des modules locaux pour les espaces ℂ-analytiques compacts. Ann. Ec. Supp.,4e series, 7 (1974), 569–602.
MathSciNet MATH Google Scholar
W. Fischer and H. Grauert, Lokal triviale Familien kompakter komplexer Mannigfaltigkeiten, Nachr. Akad. Wiss. Göttingen Math.-Phys. KL. II 1965, 89–94.
MathSciNet Google Scholar
S. Kosarew, H. Stieber, A construction of maximal modular subspaces in local deformation theory, Mathematica Gottingensis 8 (1989).
Google Scholar
V. Palamodov, Moduli in versai deformations of complex spaces, in: Variétés Analytiques Compactes, Coll., Nice (1977), Springer Lect. Notes in Math. 683 (1978), 74–115.
MathSciNet Google Scholar
G. Schumacher, Eine Anwendung des Satzes von Calabi-Yau auf Familien kompakter komplexer Mannigfaltigkeiten, Invent. math. 71 (1983), 295–307.
Article MathSciNet MATH Google Scholar
H.W. Schuster, Zur Theorie der Deformationen kompakter komplexer Räume, Invent, math. 9, 284–294 (1970).
Article MathSciNet MATH Google Scholar
H.W. Schuster, Über den trivialen Ort von Deformationen komplexer Strukturen, Math. Ann. 194, 135–146 (1971).
Article MathSciNet MATH Google Scholar
H. Stieber, Existenz semiuniverseller Deformationen in der komplexen Analysis, Aspekte der Mathematik D5, Braunschweig/Wiesbaden: Vieweg 1988.
Google Scholar
H. Stieber, Über die Existenz von maximalen modularen Unterkeimen und lokalen Modulräumen in der komplexen Analysis, to appear in the Mathematische Zeitschrift.
Google Scholar
J. J. Wavrik, Obtructions to the existence of a space of moduli, Global Analysis, Papers in honor of K. Kodaira, Princeton Univ. Press (1969).
Google Scholar
J. Wehler, Isomorphie von Familien kompakter komplexer Mannigfaltigkeiten, Math. Ann. 231, 77–90 (1977).
Article MathSciNet MATH Google Scholar

Download references

Author information

Authors and Affiliations

Siemens AG, Zentralabteilung Forschung und Entwicklung, Otto Hahn-Ring 6, 8000, München 83, Germany
Harald Stieber

Authors

Harald Stieber
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

Fachbereich Mathematik, Bergische Universität Gesamthochschule Wuppertal, Germany
Klas Diederich

Rights and permissions

Reprints and permissions

Copyright information

About this paper

Cite this paper

Stieber, H. (1991). Modular Subgerms and the Isomorphism Problem in Deformation Theory. In: Diederich, K. (eds) Complex Analysis. Aspects of Mathematics, vol 1. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-86856-5_44

Download citation

DOI: https://doi.org/10.1007/978-3-322-86856-5_44
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-322-86858-9
Online ISBN: 978-3-322-86856-5
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics