• Corpus ID: 209405398

Positive Line Bundles Over the Irreducible Quantum Flag Manifolds

@article{Garcia2019PositiveLB,
  title={Positive Line Bundles Over the Irreducible Quantum Flag Manifolds},
  author={Fredy D'iaz Garc'ia and Andrey Krutov and R'eamonn 'O Buachalla and Petr Somberg and Karen R. Strung},
  journal={arXiv: Quantum Algebra},
  year={2019}
}
Noncommutative Kahler structures were recently introduced by the third author as a framework for studying noncommutative Kahler geometry on quantum homogeneous spaces. It was subsequently observed that the notion of a positive vector bundle directly generalises to this setting, as does the Kodaira vanishing theorem. In this paper, by restricting to covariant Kahler structures of irreducible type (those having an irreducible space of holomorphic $1$-forms) we provide simple cohomological… 
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