The Finiteness Theorem
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 236)
The main purpose of this chapter is to prove the following:
Finiteness Theorem (Cartan, Serre): Let X be a compact complex space. Then for every coherent sheaf S on X all of the cohomology modules H q (X, S), 0 ≤ q ≤ ∞, are finite dimensional ℂ-vector spaces.
KeywordsHilbert Space Minimal Function Coherent Sheaf Finiteness Theorem Schwarz Lemma
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.
Unable to display preview. Download preview PDF.
© Springer Science+Business Media New York 1979