Hyperplane arrangements of Torelli type

Details Hyperplane arrangements of Torelli type Hyperplane arrangements of Torelli type

2010-11-20

arxiv.org/abs/1011.4611v1

Mathematics

Algebraic Geometry

2 Figues

Scientific paper

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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