Arjun Paul

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20172019

most citedCriterion for logarithmic connections with prescribed residues

1 citations · 1 across the 3 of their papers we have counts for

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math.AG2019

Criterion for existence of a logarithmic connection on a principal bundle over a smooth complex projective variety

Sudarshan Gurjar, Arjun Paul

Let $X$ be a connected smooth complex projective variety of dimension $n \geq 1$ . Let $D$ be a simple normal crossing divisor on $X$ . Let $G$ be a connected complex Lie group, and…

math.AG2019

Fundamental Group Schemes of $n$ -fold Symmetric Product of a Smooth Projective Curve

Arjun Paul, Ronnie Sebastian

Let $k$ be an algebraically closed field of characteristic $p > 0$ . Let $X$ be an irreducible smooth projective curve of genus $g$ over $k$ . Fix an integer $n \geq 2$ , and let $S^n…

math.AG2019

Fundamental Group Schemes of Hilbert Scheme of $n$ Points on a Smooth Projective Surface

Arjun Paul, Ronnie Sebastian

Let $k$ be an algebraically closed field of characteristic $p > 3$ . Let $X$ be an irreducible smooth projective surface over $k$ . Fix an integer $n \geq 1$ and let ${\mathcal{H}{\i…

math.AG2019

System of Hodge Bundles and Generalized Opers on Smooth Projective Varieties

Suratno Basu, Arjun Paul, Arideep Saha

Let $k$ be an algebraically closed field of any characteristic. Let $X$ be a polarized irreducible smooth projective algebraic variety over $k$ . We give criterion for semistability…

math.AG2018

Picard group and fundamental group of the moduli of Higgs bundles on curves

Sujoy Chakraborty, Arjun Paul

Let $X$ be an irreducible smooth projective curve of genus $g \geq 2$ over $C$ . Let $G$ be a connected reductive affine algebraic group over $C$ . Let $\mathrm{M}_…

math.AG2017★ 1 cited

Criterion for logarithmic connections with prescribed residues

Indranil Biswas, Ananyo Dan, Arjun Paul

A theorem of Weil and Atiyah says that a holomorphic vector bundle $E$ on a compact Riemann surface $X$ admits a holomorphic connection if and only if the degree of every direct su…

Criterion for existence of a logarithmic connection on a principal bundle over a smooth complex projective variety

Fundamental Group Schemes of n-fold Symmetric Product of a Smooth Projective Curve

Fundamental Group Schemes of Hilbert Scheme of n Points on a Smooth Projective Surface

System of Hodge Bundles and Generalized Opers on Smooth Projective Varieties

Picard group and fundamental group of the moduli of Higgs bundles on curves

Criterion for logarithmic connections with prescribed residues

Fundamental Group Schemes of $n$ -fold Symmetric Product of a Smooth Projective Curve

Fundamental Group Schemes of Hilbert Scheme of $n$ Points on a Smooth Projective Surface