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arXiv · 1610.02655

Higher iterated Hilbert coefficients of the graded components of bigraded modules

Seyed Shahab Arkian
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Abstract

Let $S=K[x_1,\ldots,x_n]$ be the polynomial ring over the field $K$, and let $I\subset S$ be a graded ideal. It is shown that the higher iterated Hilbert coefficients of the graded $S$-modules $\Tor_i^S(M,I^k)$ and $\Ext^i_S(M,I^k)$ are polynomial functions in $k$, and an upper bound for their degree is given. These results are derived by considering suitable bigraded modules.

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Seyed Shahab Arkian. 2016-10-09. Higher iterated Hilbert coefficients of the graded components of bigraded modules. https://arxiv.org/abs/1610.02655

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