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arxiv: 1209.4934 · v1 · pith:M7OJHOMRnew · submitted 2012-09-21 · 🧮 math.AG · math.CO

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

classification 🧮 math.AG math.CO
keywords arrangementsapproachbundleslinelogarithmicprojectiveassociatedconstruction
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We propose an approach to study logarithmic sheaves T(-log A) associated with a hyperplane arrangements A on the projective space, based on projective duality, direct image functors and vector bundles methods. We focus on freeness of line arrangements having a point with high multiplicity.

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