7 papers · 1 filter
Line bundles on the moduli space of parabolic connections over a compact Riemann surface
Anoop Singh
Let be a compact Riemann surface of genus and a finite subset of . Let be fixed a holomorphic line bundle over of degree . Let $\mathcal{M}_{pc}(r,…
On the relative logarithmic connections and relative residue formula
Snehajit Misra, Anoop Singh
We investigate the relative logarithmic connections on a holomorphic vector bundle over a complex analytic family. We give a sufficient condition for the existence of a relative lo…
A criterion for the existence of logarithmic connections on curves over a perfect field
S. Manikandan, Anoop Singh
Let be a perfect field, and an irreducible smooth projective curve over . We give a criterion for a vector bundle over to admit a logarithmic connection singular ove…
Differential operators on Hitchin variety
Anoop Singh
We introduce the notion of Hitchin variety over $\C$. Let be a holomorphic line bundle over a Hitchin variety . We investigate the space of all global sections of sheaf of d…
On the Moduli space of -connections
Anoop Singh
Let be a compact Riemann surface of genus . Let $\cat{M}_{Hod}$ denote the moduli space of stable -connections over and $\cat{M}'_{Hod} \subset \cat{M}_{Hod}$…
Moduli space of logarithmic connections singular over a finite subset of a compact Riemann surface
Anoop Singh
Let be a finite subset of a compact connected Riemann surface of genus . Let $\cat{M}_{lc}(n,d)$ denote the moduli space of pairs , where is a holomorp…