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arXiv · 0904.2843

Free resolutions over commutative Koszul algebras

Luchezar L. Avramov·Aldo Conca·Srikanth B. Iyengar
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Abstract

For R=Q/J with Q a commutative graded algebra over a field and J non-zero, we relate the slopes of the minimal resolutions of R over Q and of k=R/R_{+} over R. When Q and R are Koszul and J_1=0 we prove Tor^Q_i(R,k)_j=0 for j>2i, for each non-negative integer i, and also for j=2i when i>dim Q-dim R and pd_QR is finite.

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Luchezar L. Avramov, Aldo Conca, Srikanth B. Iyengar. 2009-04-18. Free resolutions over commutative Koszul algebras. https://arxiv.org/abs/0904.2843

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