4 papers · 1 filter
Principal bundles with holomorphic connections over a Kaehler Calabi-Yau manifold
Indranil Biswas, Sorin Dumitrescu
We prove that any holomorphic vector bundle admitting a holomorphic connection, over a compact Kähler Calabi-Yau manifold, also admits a flat holomorphic connection. This addresses…
On the monodromy of holomorphic differential systems
Indranil Biswas, Sorin Dumitrescu, Lynn Heller +2
First we survey and explain the strategy of some recent results that construct holomorphic -differential systems over some Riemann surfaces of genus…
On the direct image of the adjoint line bundle
Indranil Biswas, Fatima Laytimi, D. S. Nagaraj +1
We give an algebraic-geometric proof of the fact that for a smooth fibration of projective varieties, the direct image of the adjoi…
Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties
Indranil Biswas, Benjamin McKay
For any smooth projective variety with holomorphic locally homogeneous structure modelled on a homogeneous algebraic variety, we determine all the subvarieties of it which develop…