Can I read A Gr\"obner basis for the graph of the reciprocal plane on EtoBox?

A Gr\"obner basis for the graph of the reciprocal plane by Fink, Alex; Speyer, David E; Woo, Alexander is a scholarly article available to read on EtoBox.

What is A Gr\"obner basis for the graph of the reciprocal plane about?

Given the complement of a hyperplane arrangement, let $\Gamma$ be the closure of the graph of the map inverting each of its defining linear forms. The characteristic polynomial manifests itself in the Hilbert series of $\Gamma$ in two different-seeming ways, one due to Orlik and Terao and the other to Huh and Katz. We define an extension of the no broken circuit complex of a matroid and use it to give a direct Gr\"obner basis argument that the polynomials extracted from the Hilbert series in these two ways agree.

Author

Fink, Alex; Speyer, David E; Woo, Alexander

Published

2017

Language

EN