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arXiv · 1209.2075

Castelnuovo-Mumford regularity and arithmetic Cohen-Macaulayness of complete bipartite subspace arrangements

Zach Teitler·Douglas A. Torrance
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Abstract

We give the Castelnuovo-Mumford regularity of arrangements of (n-2)-planes in P^n whose incidence graph is a sufficiently large complete bipartite graph, and determine when such arrangements are arithmetically Cohen-Macaulay.

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Zach Teitler, Douglas A. Torrance. 2012-09-10. Castelnuovo-Mumford regularity and arithmetic Cohen-Macaulayness of complete bipartite subspace arrangements. https://doi.org/10.1016/j.jpaa.2014.07.027

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