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arXiv · 2011.12409

Canonical Resolutions over Koszul Algebras

Eleonore Faber·Martina Juhnke-Kubitzke·Haydee Lindo·Claudia Miller·Rebecca R. G.·Alexandra Seceleanu
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Abstract

We generalize Buchsbaum and Eisenbud's resolutions for the powers of the maximal ideal of a polynomial ring to resolve powers of the homogeneous maximal ideal over graded Koszul algebras. Our approach has the advantage of producing resolutions that are both more explicit and minimal compared to those previously discovered by Green and Mart\'{\i}nez-Villa \cite{GreenMartinezVilla} or Mart\'{\i}nez-Villa and Zacharia \cite{MartinezVillaZacharia}.

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Eleonore Faber, Martina Juhnke-Kubitzke, Haydee Lindo, Claudia Miller, Rebecca R. G., Alexandra Seceleanu. 2020-11-24. Canonical Resolutions over Koszul Algebras. https://arxiv.org/abs/2011.12409

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