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most citedTwisted logarithmic complexes of positively weighted homogeneous divisors

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math.AG2022★ 1 cited

Twisted logarithmic complexes of positively weighted homogeneous divisors

Daniel Bath, Morihiko Saito

For a rank 1 local system on the complement of a reduced divisor on a complex manifold , its cohomology is calculated by the twisted meromorphic de Rham complex. Assuming the di…

math.AG2022

Hyperplane Arrangements Satisfy (un)Twisted Logarithmic Comparison Theorems, Applications to -modules

Daniel Bath

For a reduced hyperplane arrangement we prove the analytic Twisted Logarithmic Comparison Theorem, subject to mild combinatorial arithmetic conditions on the weights defining the t…