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We propose an approach to study logarithmic sheavesT   P  n(  -  log   D  A   )associated with hyperplane arrangements   A   on the projective space    P  n   , based on projective duality, direct image functors and vector bundles methods.  We focus on free line arrangements admitting a point with high multiplicity, or having low exponents, proving Terao's conjecture in this range.

Logarithmic bundles and line arrangements, an approach via the standard construction