A Torelli-type problem for logarithmic bundles over projective varieties. (English) Zbl 1349.14033
Summary: We investigate the logarithmic bundles associated to arrangements of hypersurfaces with a fixed degree in a smooth projective variety. We then specialize to the case when the variety is a quadric hypersurface and a multiprojective space to prove a Torelli-type theorem in some cases.
MSC:
14C34 | Torelli problem |
14J60 | Vector bundles on surfaces and higher-dimensional varieties, and their moduli |
14D20 | Algebraic moduli problems, moduli of vector bundles |
14F05 | Sheaves, derived categories of sheaves, etc. (MSC2010) |
14N20 | Configurations and arrangements of linear subspaces |