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Subaffine Schemes*

Published online by Cambridge University Press:  20 November 2018

Klaus Hoechsmann
Klaus Hoechsmann*
Affiliation:
University of British Columbia
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Let an open, quasi-compact subscheme of an affine scheme be called subaffine. This note will centre on an elementary characterization of such schemes in terms of their topology and global sections. Thence one can obtain simplifications and generalizations of some well-known theorems, such as Serre's Criterion [2, Thm. 1].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 2 , April 1969 , pp. 179 - 181
Copyright
Copyright © Canadian Mathematical Society 1969

Footnotes

*

This note was written at the Summer Institute of the Canadian Mathematical Congress, of which the author was a Fellow.

References

1. Grothendieck, A., Éléments de géométrie algébrique. (Publ. Math. I. H. E. S., Paris, 1960, 1961).Google Scholar
2. Serre, J.P., Sur la cohomologie des variétés algébriques. Jour. de Math. 36 (1957) 1–16.Google Scholar