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Questions about Boij-S\"oderberg theory

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arxiv 1606.01867 v1 pith:DWL56HML submitted 2016-06-06 math.AC math.AG

classification math.ACmath.AG
keywords boij-soderbergtheoryinvolvesquestionssidetablebetti
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Boij-S\"oderberg theory focuses on the properties and duality relationship between two types of numerical invariants. One side involves the Betti table of a graded free resolution over the polynomial ring. The other side involves the cohomology table of a coherent sheaf on projective space. We discuss open questions and problems in Boij-S\"oderberg theory.

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