Boij-Söderberg theory: Introduction and survey

Details Boij-Söderberg theory: Introduction and survey Boij-Söderberg theory: Introduction and survey

2011-06-02

arxiv.org/abs/1106.0381v2

Mathematics

Commutative Algebra

Minor corrections. 47 pages, to appear in Progress in Commutative Algebra: Ring Theory, Homology, and Decomposition, eds. C.Fr

Scientific paper

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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