A cohomological characterization of Alexander schemes
โ Scribed by Shun-Ichi Kimura
- Publisher
- Springer-Verlag
- Year
- 1999
- Tongue
- English
- Weight
- 406 KB
- Volume
- 137
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let X be a projective scheme over a field K and let F be a coherent sheaf of O X -modules. We show that the cohomological postulation numbers ฮฝ i F of F, e.g., the ultimate places at which the cohomological Hilbert functions n โ dim K (H i (X, F(n))) =: h i F (n) start to be polynomial for n 0, are
We study the sets P(X; F) = {(i; n) โ N0 ร Z | H i (X; F(n)) = 0}, where X is a projective scheme over a noetherian ring R0 and where F is a coherent sheaf of OX -modules. In particular we show that P(X; F) is a so called tame combinatorial pattern if the base ring R0 is semilocal and of dimension 6