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A contribution to the theory of formal meromorphic functions

Published online by Cambridge University Press:  22 January 2016

Gerd Faltings
Gerd Faltings*
Affiliation:
Dept. of Math., Harvard University, 1 Oxford Street, Cambridge, MA 02138USA and Math. Inst, der Univ. Muenster, Roxeler Str. 64, 4400 MuensterGermany
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In my paper [F3] I more or less explicitly conjectured that if A is a complete local integral domain with maximal ideal and if I = (t1, …, tn) is an ideal in A with n ≤ dim (A) – 2, then Spec (A/I) – is G3 in Spec (A) – . This will be proved in this paper.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 77 , February 1980 , pp. 99 - 106
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

References

[F1] Faltings, G., Ueber die Annulatoren lokaler Kohomologiegruppen, Archiv der Math. 30 (1978), 473–476.Google Scholar
[F2] Faltings, G. Ueber Macaulayfizierung, Math. Annalen 238 (1978), 175–192.Google Scholar
[F3] Faltings, G., Some Theorems about Formal Functions, to appear.Google Scholar
[G] Grothendieck, A., Éléments de Géométrie Algébrique, Fasc. III, 1, Pub. Math. 11 (1961).Google Scholar
[M] Matsumura, H., Commutative Algebra, Benjamin, New York 1970.Google Scholar
[S] Speiser, R., Cohomological Dimension of Non-Complete Hypersurfaces, Inventions math. 21 (1973), 143–150.Google Scholar