Boij-söderberg and Veronese Decompositions

نویسندگان

  • CHRISTOPHER A. FRANCISCO
  • JEFFREY MERMIN
  • JAY SCHWEIG
چکیده

Boij-Söderberg theory has had a dramatic impact on commutative algebra. We determine explicit Boij-Söderberg coefficients for ideals with linear resolutions and illustrate how these arise from the usual Eliahou-Kervaire computations for Borel ideals. In addition, we explore a new numerical decomposition for resolutions based on a row-by-row approach; here, the coefficients of the Betti diagrams are not necessarily positive. Finally, we demonstrate how the Boij-Söderberg decomposition of an arbitrary homogeneous ideal with a pure resolution changes when multiplying the ideal by a homogeneous polynomial.

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تاریخ انتشار 2014