9 citations · 9 across the 2 of their papers we have counts for
4 papers · 1 filter
Automorphism group of principal bundles, Levi reduction and invariant connections
Indranil Biswas, Francois-Xavier Machu
Let be a compact connected complex manifold and a connected reductive complex affine algebraic group. Let be a holomorphic principal --bundle over and $T\, \su…
On the direct images of parabolic vector bundles and parabolic connections
Indranil Biswas, Francois-Xavier Machu
Let be a finite surjective morphism between smooth complex projective curves, where is irreducible but need not be so. Let be a parabolic vector…
Kuranishi Spaces of Meromorphic Connections
Francois-Xavier Machu
We construct the Kuranishi spaces, or in other words, the versal deformations, for the following classes of connections with fixed divisor of poles : all such connections, as we…
Monodromy of a Class of Logarithmic Connections on an Elliptic Curve
Francois-Xavier Machu
The logarithmic connections studied in the paper are direct images of regular connections on line bundles over genus-2 double covers of the elliptic curve. We give an explicit para…