Varietà complesse a struttura grassmanniana
We define and study the notions of connections and structures of grassmannian type on complex manifolds.
We define and study the notions of connections and structures of grassmannian type on complex manifolds.
Nous construisons de nouvelles variétés complexes compactes comme espaces d’orbites d’actions linéaires de , généralisant en cela les constructions de Meersseman. Nous donnons également certaines propriétés de ces variétés.
We study relatively semi-stable vector bundles and their moduli on non-Kähler principal elliptic bundles over compact complex manifolds of arbitrary dimension. The main technical tools used are the twisted Fourier-Mukai transform and a spectral cover construction. For the important example of such principal bundles, the numerical invariants of a 3-dimensional non-Kähler elliptic principal bundle over a primary Kodaira surface are computed.