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14 p, 377.9 KB Vanishing results for the cohomology of complex toric hyperplane complements / Davis, M. W. (The Ohio State University. Department of Mathematics) ; Settepanella, S. (Scuola Superiore Sant'Anna (Pisa, Itàlia))
Suppose R is the complement of an essential arrangement of toric hyperlanes in the complex torus (C∗) n and π = π1(R). We show that H∗(R; A) vanishes except in the top degree n when A is one of the following systems of local coefficients: (a) a system of nonresonant coefficients in a complex line bundle, (b) the von Neumann algebra N π, or (c) the group ring Zπ. [...]
2013 - 10.5565/PUBLMAT_57213_05
Publicacions matemàtiques, Vol. 57, Núm. 2 (2013) , p. 379-392  

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