Introduces semi-abelian generalized complex structures.
problem Deformation theory of abelian complex structures.
method Definition and examples of semi-abelian generalized complex structures.
result Illustration of new concept with examples.
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5 results for “semi-abelian”
Defines and parametrizes -type singular fibres in symplectic and odd orthogonal Hitchin systems.
problem Characterizing and understanding singular fibres in Hitchin systems.
method Stratification by semi-abelian spectral data, study of irreducible components, global description of degenerations.
result Extension of Langlands duality to -type Hitchin fibres.
Describes spectral data for singular fibres of a specific Hitchin system.
problem Characterizing singular fibres of the -Hitchin system.
method Using Hecke transformations and analysis of parameter spaces, the paper stratifies and compactifies the singular spaces.
result Large classes of singular fibres are shown to be fibre bundles over Prym varieties.
We generalize Demailly's construction of projective jet bundles and strictly negatively curved pseudometrics on them to the logarithmic case. We establish this logarithmic generalization explicitly via coordinates, just as Noguchi's generalization of the jets used by Green-Griffiths. As a first application, we give a m…
Log-conformal projective pairs restrict to simple geometric structures.
problem Characterizing pairs of projective manifolds with logarithmic conformal tensors.
method Analyzing the nefness and triviality of to deduce geometric properties.
result Pairs of projective manifolds with logarithmic conformal tensors are restricted to simple geometric structures.