Minimality of toric arrangements

Details Minimality of toric arrangements Minimality of toric arrangements

2011-12-21

arxiv.org/abs/1112.5041v2

Mathematics

Combinatorics

reviewed version: some typos corrected, one applicative section added, 38 pages, 5 figures

Scientific paper

We prove that the complement of a toric arrangement has the homotopy type of
a minimal CW complex. As a corollary we obtain that the integer cohomology of
these spaces is torsion free. We use Discrete Morse Theory, providing a
sequence of cellular collapses that leads to a minimal complex.

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