Publication: A diagonal bound for cohomological postulation numbers of projective schemes
A diagonal bound for cohomological postulation numbers of projective schemes
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Brodmann, M., & Lashgari, A. (2003). A diagonal bound for cohomological postulation numbers of projective schemes. Journal of Algebra, 265, 631–650. https://doi.org/10.1016/S0021-8693(03)00234-5
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Let X be a projective scheme over a field K and let F be a coherent sheaf of OX-modules. We show that the cohomological postulation numbers νFi of F, e.g., the ultimate places at which the cohomological Hilbert functions n dimK (Hi (X, F(n))) =: hFi (n) start to be polynomial for n ≪ 0, are (polynomially) bounded in terms of the cohomology diagonal (hFi (-i) i=0dim(F) of F. As a consequence, we obtain that there are only finitely many different cohomological Hilbert functions hFi if F runs through all coherent sheaves of OX-modules wi
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- Brodmann, M
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Brodmann, M., & Lashgari, A. (2003). A diagonal bound for cohomological postulation numbers of projective schemes. Journal of Algebra, 265, 631–650. https://doi.org/10.1016/S0021-8693(03)00234-5
