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- W2912146836 abstract "We present a robust categorical foundation for the duality theory introduced by Eisenbud and Schreyer to prove the Boij-Soderberg conjectures describing numerical invariants of syzygies. The new foundation allows us to extend the reach of the theory substantially. More explicitly, we construct a pairing between derived categories that simultaneously categorifies all the functionals used by Eisenbud and Schreyer. With this new tool, we describe the cone of Betti tables of finite, minimal free complexes having homology modules of specified dimensions over a polynomial ring, and we treat many examples beyond polynomial rings. We also construct an analogue of our pairing between derived categories on a toric variety, yielding toric/multigraded analogues of the Eisenbud-Schreyer functionals." @default.
- W2912146836 created "2019-02-21" @default.
- W2912146836 creator A5036413185 @default.
- W2912146836 creator A5082037003 @default.
- W2912146836 date "2012-05-02" @default.
- W2912146836 modified "2023-09-27" @default.
- W2912146836 title "Categorified duality in Boij-S" @default.
- W2912146836 hasPublicationYear "2012" @default.
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