Hyperplane arrangements of Torelli type

Abstract

We give a necessary and sufficient condition in order for a hyperplane arrangement to be of Torelli type, namely that it is recovered as the set of unstable hyperplanes of its Dolgachev sheaf of logarithmic differentials. Decompositions and semistability of non-Torelli arrangements are investigated.

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References in corpus (2)

• Unstable hyperplanes for Steiner bundles and multidimensional matrices
• Elementary modifications and line configurations in P^2

Cited by in corpus (5)

• Logarithmic bundles and Line arrangements, an approach via the standard construction
• Logarithmic Bundles Of Hypersurface Arrangements In P^n
• The Torelli problem for Logarithmic bundles of hypersurface arrangements in the projective space
• Logarithmic bundles of multi-degree arrangements in ${\mathbf{P}}^n$
• Hypertetrahedral arrangements