Abstract
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.
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© 2004 Springer-Verlag Berlin Heidelberg
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Grauert, H., Remmert, R. (2004). The Finiteness Theorem. In: Theory of Stein Spaces. Classics in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18921-0_8
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DOI: https://doi.org/10.1007/978-3-642-18921-0_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-00373-1
Online ISBN: 978-3-642-18921-0
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