Subaffine Schemes*
Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 179-181
Voir la notice de l'article provenant de la source Cambridge University Press
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].
Hoechsmann, Klaus. Subaffine Schemes*. Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 179-181. doi: 10.4153/CMB-1969-018-0
@article{10_4153_CMB_1969_018_0,
author = {Hoechsmann, Klaus},
title = {Subaffine {Schemes*}},
journal = {Canadian mathematical bulletin},
pages = {179--181},
year = {1969},
volume = {12},
number = {2},
doi = {10.4153/CMB-1969-018-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-018-0/}
}
[1] 1. Grothendieck, A., Éléments de géométrie algébrique. (Publ. Math. I. H. E. S., Paris, 1960, 1961). Google Scholar
[2] 2. Serre, J.P., Sur la cohomologie des variétés algébriques. Jour. de Math. 36 (1957) 1–16. Google Scholar
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