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arXiv · 1610.06976

Graded Betti numbers of good filtrations

Kamran Lamei·Siamak Yassemi
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Abstract

The asymptotic behavior of graded Betti numbers of powers of homogeneous ideals in a polynomial ring over a field has recently been reviewed. We extend quasi polynomial behavior of graded Betti numbers of powers of homogenous ideals to Z-graded algebra over Notherian local ring. Furthermore our main result treats the Betti table of filtrations which is finite or integral over the Rees algebra.

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Kamran Lamei, Siamak Yassemi. 2016-10-21. Graded Betti numbers of good filtrations. https://arxiv.org/abs/1610.06976

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