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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2010
- DOI:
- arXiv:
- arXiv:1011.4611
- Bibcode:
- 2010arXiv1011.4611F
- Keywords:
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- Mathematics - Algebraic Geometry;
- 14F05;
- 14C34;
- 52C35;
- 32S22
- E-Print:
- 2 Figues