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Boij-Söderberg theory: Introduction and survey

Published 2 Jun 2011 in math.AC | (1106.0381v2)

Abstract: Boij-S\"oderberg theory describes the Betti diagrams of graded modules over the polynomial ring up to multiplication by a rational number. Analog Eisenbud-Schreyer theory also describes the cohomology tables of vector bundles on projective spaces up to rational multiple. We give an introduction and survey of these newly developed areas.

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