Keywords
- Modular Space
- Prime Ideal
- Irreducible Component
- Analytic Subset
- Finite Dimension
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Bibliography
M. Artin, On the solutions of Analytic Equations, Inventiones Math. 5(1968), 277–292.
Y. Colombé, Secret papers.
I.F. Donin, On analytic Banach spaces and on the space of modules of holomorphic fiberings, Dokl. Akad. Nauk SSSR (Soviet. Math. Dokl. Vol. 11(1970), no. 6.
A. Douady, Thèse, Ann. Inst. Fourier, Grenoble, 16, 1, (1966), 1–98.
A. Douady, A remark on Banach analytic spaces, Stanford University.
G. Fischer, Book to appear, Ergebnisse (Springer-Verlag).
H. Grauert, Uber die Deformation isolierte Singularitäten analytischer Mengen.
G. Houzel, Thèse, Université de Grenoble, to appear.
P. Mazet, Le Nullstellensatz pour un germe analytique banachique, C.R. Acad. Sci., Paris 269, Sér. A, 235–237.
P. Mazet, Propriétés noethériennes relatives (1971), Université de Tunis.
P. Mazet, Généralisation des notions d'anneau noethérien et d'anneau de Cohen-Macauley. (Cf. also the Mazet's lecture for the “Colloque International du C.N.R.S.: Analyse Complexe” (Lecture Notes, Springer Verlag).)
J. P. Ramis, Sous-ensembles analytiques d'une variété banachique complexe, Ergebnisse Bd. 53 (Springer-Verlag).
J. P. Ramis and G. Ruget, Un théorème sur les images directes analytiques banachiques, C.R. Acad. Sc. Paris 267, Sér. A, 995–996.
J. P. Ramis and G. Ruget, Complexe dualisant et théorèmes de dualité en géométrie analytique, Publ. Math. I.H.E.S. 38(1971), 77–91.
G. Ruget, A propos des cycles analytiques de dimension infinie, Inventiones Math. 8(1969), 267–312.
G. Ruget, Deformations des germes d'espace analytique I, II, Séminaire de l'Ecole Normale Supérieure (Paris), 1972.
M. Schlessinger, Functors of Artin Rings.
J. P. Serre, Algèbre locale et multiplicités, Lecture Notes (Springer-Verlag).
Tiourina, Locally semi-universal flat deformations of isolated singularities of complex spaces, Math. of the USSR Izvestija, vol. 3, no. 5, 967–999.
J. L. Verdier, Séminaire de l'Ecole Normale Supérieure, (Paris), 1972.
G. Pourcin, Déformation de singularitiés isolées, C.R. Acad. Sc. Paris 1276(1973), 1217–1219.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1974 Springer-Verlag Berlin
About this paper
Cite this paper
Ramis, J.P. (1974). Some recent results and open problems in infinite dimensional analytic geometry. In: Hayden, T.L., Suffridge, T.J. (eds) Proceedings on Infinite Dimensional Holomorphy. Lecture Notes in Mathematics, vol 364. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069018
Download citation
DOI: https://doi.org/10.1007/BFb0069018
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06619-4
Online ISBN: 978-3-540-37915-7
eBook Packages: Springer Book Archive
