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arxiv: 1009.1230 · v1 · pith:YFQACI6Wnew · submitted 2010-09-07 · 🧮 math.AC · math.AG

Koszul cycles

classification 🧮 math.AC math.AG
keywords cycleskoszularxivboundboundsdimensioneverygeneralize
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We prove regularity bounds for Koszul cycles holding for every ideal of dimension at most 1 in a polynomial ring. We generalize the lower bound for the Green-Lazarsfeld index of Veronese rings we proved in arXiv:0902.2431 to the multihomogeneous setting.

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