Anoop Singh

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20192023

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3 papers · 1 filter

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…