3 problems
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Orlik–Terao conjecture on combinatorial freeness of hyperplane arrangements
Let be an arrangement of hyperplanes on a projective space, and let its combinatorics mean the incidence data of the arrangement. The arrangement is free when the du…
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Dolgachev's Torelli conjecture for logarithmic bundles of hyperplane arrangements
Let be an arrangement of hyperplanes on . Assume that the logarithmic bundle…
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Conjecture on graded Betti numbers and resolutions of logarithmic bundles of deformed Weyl arrangements
Let be an irreducible crystallographic root system of rank , let and , and set … For a logarithmic bundle , write…