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A cohomological characterization of Alexander schemes

โœ Scribed by Shun-Ichi Kimura


Publisher
Springer-Verlag
Year
1999
Tongue
English
Weight
406 KB
Volume
137
Category
Article
ISSN
0020-9910

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๐Ÿ“œ SIMILAR VOLUMES


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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

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We study the sets P(X; F) = {(i; n) โˆˆ 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