- Mathematics
- Published 2012

# Modular decomposition of the Orlik-Terao algebra of a hyperplane arrangement

@inproceedings{Denham2012ModularDO, title={Modular decomposition of the Orlik-Terao algebra of a hyperplane arrangement}, author={Graham C. Denham and Mehdi Garrousian and Stefan O. Tohaneanu}, year={2012} }

Let A be a collection of n linear hyperplanes in k^l, where k is an algebraically closed field. The Orlik-Terao algebra of A is the subalgebra R(A) of the rational functions generated by reciprocals of linear forms vanishing on hyperplanes of A. It determines an irreducible subvariety of projective space. We show that a flat X of A is modular if and only if R(A) is a split extension of the Orlik-Terao algebra of the subarrangement A_X. This provides another refinement of Stanley's modular… CONTINUE READING

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