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      A genus explanation of the Buchsbaum-Rim multiplicity

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          Abstract

          We study the Buchsbaum-Rim multiplicity, ab inicio, through a Koszul-\v{C}ech spectral sequence. We show that the Buchsbaum-Rim multiplicity is the arithmetic genus (Euler characteristic) of Koszul homology sheaves on a projective space over the base scheme.

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          Author and article information

          Journal
          19 April 2021
          Article
          2104.09698
          ab849951-7d02-4333-81ad-f6d016f3856e

          http://creativecommons.org/licenses/by/4.0/

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          Custom metadata
          24pages, Comments Welcome
          math.AC math.AG

          Geometry & Topology,Algebra
          Geometry & Topology, Algebra

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