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- W2950384008 abstract "A rank one local system $LL$ on a smooth complex algebraic variety $M$ is admissible roughly speaking if the dimension of the cohomology groups $H^m(M,LL)$ can be computed directly from the cohomology algebra $H^*(M,C)$. We say that a line arrangement $A$ is of type $CC_k$ if $k ge 0 $ is the minimal number of lines in $A$ containing all the points of multiplicity at least 3. We show that if $A$ is a line arrangement in the classes $CC_k$ for $kleq 2$, then any rank one local system $LL$ on the line arrangement complement $M$ is admissible. Partial results are obtained for the class $CC_3$." @default.
- W2950384008 created "2019-06-27" @default.
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- W2950384008 date "2008-01-23" @default.
- W2950384008 modified "2023-09-27" @default.
- W2950384008 title "Admissible local systems for a class of line arrangements" @default.
- W2950384008 hasPublicationYear "2008" @default.
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