Anoop Singh

activity

20192023

collaborators

13 papers

math.AG2023

Relative connections on Principal bundles and relative equivariant structures

Mainak Poddar, Anoop Singh

We investigate relative holomorphic connections on a principal bundle over a family of compact complex manifolds. A sufficient condition is given for the existence of a relative ho…

math.AG2022

Line bundles on the moduli space of parabolic connections over a compact Riemann surface

Anoop Singh

Let $X$ be a compact Riemann surface of genus $g \geq 3$ and $S$ a finite subset of $X$ . Let $ξ$ be fixed a holomorphic line bundle over $X$ of degree $d$ . Let $\mathcal{M}_{pc}(r,…

math.AG2022

On pseudoeffective cones of projective bundles and volume function

Snehajit Misra, Anoop Singh

In this article, we compute the pseudo-effective cones of various projective bundles $P_{X} (E)$ over higher dimensional varieties $X$ under some assumptions on $X$ as well a…

math.DG2022

On the relative opers in dimension one

Anoop Singh, Abhitosh Upadhyay

We investigate the relative opers over the complex analytic family of compact complex manifolds of relative dimension one. We introduce the notion of relative opers arising from th…

math.AG2021

Chen-Ruan cohomology and moduli spaces of parabolic bundles over a Riemann surface

Indranil Biswas, Pradeep Das, Anoop Singh

Let $(X, D)$ be an $m$ -pointed compact Riemann surface of genus at least $2$ . For each $x \in D$ , fix full flag and concentrated weight system $α$ . Let $P M_{ξ}$ denot…

math.AG2021

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…