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• W2137921812 abstract "The Betti numbers of a graded module over the polynomial ring form a table of numerical invariants that refines the Hilbert polynomial. A sequence of papers sparked by conjectures of Boij and Soderberg have led to the characterization of the possible Betti tables up to rational multiples—that is, to the rational cone generated by the Betti tables. We will summarize this work by describing the cone and the closely related cone of cohomology tables of vector bundles on projective space, and we will give new, simpler proofs of some of the main results. We also explain some of the applications of the theory, including the one that originally motivated the conjectures of Boij and Soderberg, a proof of the Multiplicity Conjecture of Herzog, Huneke and Srinivasan." @default.
• W2137921812 created "2016-06-24" @default.
• W2137921812 creator A5030237275 @default.
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• W2137921812 date "2011-06-01" @default.
• W2137921812 modified "2023-10-18" @default.
• W2137921812 title "Betti Numbers of Syzygies and Cohomology of Coherent Sheaves" @default.
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• W2137921812 doi "https://doi.org/10.1142/9789814324359_0065" @default.
• W2137921812 hasPublicationYear "2011" @default.
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