The integer cohomology of toric Weyl arrangements

Simona Settepanella

LEM Papers Series from Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy

Abstract: A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we prove that if T(W) is the toric arrangement defined by the cocharacters lattice of a Weyl group W, then the integer cohomology of its complement is torsion free.

Keywords: Arrangement of hyperplanes; toric arrangements; CW complexes; Salvetti complex; Weyl groups; integer cohomology (search for similar items in EconPapers)
Date: 2010-09-22
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Persistent link: https://EconPapers.repec.org/RePEc:ssa:lemwps:2010/17

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