S. Gurjar

activity

20112025

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

3 citations · 5 across the 6 of their papers we have counts for

collaborators

10 papers

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★ 1 cited

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.AG2016

Higgs bundles and fundamental group schemes

Indranil Biswas, Ugo Bruzzo, Sudarshan Gurjar

Relying on a notion of "numerical effectiveness" for Higgs bundles, we show that the category of "numerically flat" Higgs vector bundles on a smooth projective variety $X$ is a Tan…

math.AG2016★ 1 cited

Harder-Narasimhan stacks for principal bundles in higher dimensions and arbitrary characteristics

Sudarshan Gurjar, Nitin Nitsure

Let $G$ be a split reductive group over a field $k$ of arbitrary characteristic, chosen suitably. Let $X \to S$ be a smooth projective morphism of locally noetherian $k$ -schemes, wi…

math.AG2015

Schematic Harder-Narasimhan stratification for families of principal bundles in higher dimensions

Sudarshan Gurjar, Nitin Nitsure

For any family of principal bundles with a reductive structure group G on a family X/S of smooth projective varieties in characteristic zero, it is known that the parameter scheme…

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…

math.AG2011

Rationality of the instability parabolic and related results

Sudarshan Gurjar, Vikram Mehta

In this paper we study the extension of structure group of principal bundles with a reductive algebraic group as structure group on smooth projective varieties defined over algebra…