The Module of Logarithmic p-forms of a Locally Free Arrangement

Mathematics – Algebraic Geometry

Scientific paper

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LaTeX, 17 pages

Scientific paper

For an essential, central hyperplane arrangement A in V=k^{n+1}, we show that \Omega^1(A) (the module of logarithmic one forms with poles along A) gives rise to a locally free sheaf on P^n if and only if for all X in L_A with rank X

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