.
Serre's theorem on affineness
In algebraic geometry, given an algebraic variety (or more generally scheme) X, Serre's theorem on affineness, after Jean-Pierre Serre, states that if
(1) X is quasi-compact, and
(2) for every quasi-coherent ideal sheaf I of OX, \( H^1(X, I) = 0, \)
then X is affine.
References
http://stacks.math.columbia.edu/tag/01XF
Retrieved from "http://en.wikipedia.org/"
All text is available under the terms of the GNU Free Documentation License