• 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

Figures from this paper.

Citations

Publications citing this paper.

References

Publications referenced by this paper.
SHOWING 1-10 OF 31 REFERENCES

parallel connections

Graham Denham, Alexander I. Suciu, Multinets
  • and Milnor fibrations of arrangements, arXiv:1209.3414,
  • 2012
VIEW 1 EXCERPT

Tohǎneanu, The Orlik-Terao algebra and 2-formality

Hal Schenck, O Ştefan
  • Math. Res. Lett
  • 2009

A broken circuit ring, Beiträge Algebra Geom

Nicholas Proudfoot, David Speyer
  • MR
  • 2006

vol

Alexander Polishchuk, Leonid Positselski, Quadratic algebras, University Lecture Series
  • 37, American Mathematical Society, Providence, RI,
  • 2005
VIEW 2 EXCERPTS