Cohomology of complements of toric arrangements associated with root systems
Cohomology of complements of toric arrangements associated with root systems
Abstract We develop an algorithm for computing the cohomology of complements of toric arrangements. In the case a finite group $$\Gamma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Γ</mml:mi> </mml:math> is acting on the arrangement, the algorithm determines the cohomology groups as representations of $$\Gamma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Γ</mml:mi> </mml:math> . As an important …