2010/17 | LEM Working Paper Series | |
The integer cohomology of toric Weyl arrangements |
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Simona Settepanella |
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Keywords | ||
Arrangement of hyperplanes, toric arrangements, CW complexes, Salvetti complex, Weyl groups, integer cohomology
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MSC(2010) Classification | ||
52C35, 32S22, 20F36,17B10
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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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