Combinatorics and topology of toric arrangements defined by root systems

Details Combinatorics and topology of toric arrangements defined by root systems Combinatorics and topology of toric arrangements defined by root systems

2009-12-30

arxiv.org/abs/0912.5458v1

L. Moci, Combinatorics and topology of toric arrangements defined by root systems, Rend. Lincei Mat. Appl. 19 (2008), 293-308

Mathematics

Representation Theory

20 pages. Updated version of a paper published in December 2008

Scientific paper

Given the toric (or toral) arrangement defined by a root system $\Phi$, we describe the poset of its layers (connected components of intersections) and we count its elements. Indeed we show how to reduce to zero-dimensional layers, and in this case we provide an explicit formula involving the maximal subdiagrams of the affine Dynkin diagram of $\Phi$. Then we compute the Euler characteristic and the Poincare' polynomial of the complement of the arrangement, which is the set of regular points of the torus.

Affiliated with

Also associated with

No associations

Rating

Combinatorics and topology of toric arrangements defined by root systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Combinatorics and topology of toric arrangements defined by root systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Combinatorics and topology of toric arrangements defined by root systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-34139