S. Gurjar

activity

20122025

most citedSchematic HN stratification for families of principal bundles and lambda modules

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

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6 papers · 1 filter

math.AG2025

Connections and Higgs bundles on curves defined over a number field

Indranil Biswas, Sudarshan Gurjar

Let $X_{0}$ be an irreducible smooth projective curve defined over $Q$ and $E$ a vector bundle on $X_{0}$ . We give a criterion for connections on the base ch…

math.AG2025

A Belyi-type criterion for vector bundles on curves defined over a number field

Indranil Biswas, Sudarshan Gurjar

Let $X_{0}$ be an irreducible smooth projective curve defined over $Q$ and $f_{0} : X_{0} \to P_{Q}^{1}$ a nonconstant morphism whose…

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.AG2018

Connections and restrictions to curves

Indranil Biswas, Sudarshan Gurjar

We construct a vector bundle $E$ on a smooth complex projective surface $X$ with the property that the restriction of $E$ to any smooth closed curve in $X$ admits an algebraic conn…

math.AG2013

Restriction Theorems for Principal Bundles and Some Consequences

Sudarshan Gurjar

The aim of this paper is to give a proof of the restriction theorems for principal bundles with a reductive algebraic group as structure group in arbitrary characteristic. Let $G$ …

math.AG2012★ 3 cited

Schematic HN stratification for families of principal bundles and lambda modules

Sudarshan Gurjar, Nitin Nitsure

For a family of principal bundles with a reductive structure group on a family of curves in characteristic zero, it is known that the Harder Narasimhan type of its restriction to e…