2010/17 LEM Working Paper Series


The integer cohomology of toric Weyl arrangements

Simona Settepanella
  Keywords
 
Arrangement of hyperplanes, toric arrangements, CW complexes, Salvetti complex, Weyl groups, integer cohomology


  MSC(2010) Classification
 
52C35, 32S22, 20F36,17B10


  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.


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