Arjun Paul
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View article: Lie Algebroid Connections on Principal Bundles
Lie Algebroid Connections on Principal Bundles Open
Let $X$ be an irreducible smooth complex projective variety. Let $G$ be a linear algebraic group over $\mathbb{C}$. We define the notion of Lie algebroid valued connection on holomorphic principal $G$--bundles on $X$, and study their basic…
View article: Equivariant Parabolic connections and stack of roots
Equivariant Parabolic connections and stack of roots Open
Let $X$ be a smooth complex projective variety equipped with an action of a linear algebraic group $G$ over $\mathbb{C}$. Let $D$ be a reduced effective divisor on $X$ that is invariant under the $G$--action on $X$. Let $s_D$ be the canoni…
View article: Production of negative ion beams through charge transfer between negative hydrogen ion beams and non-metallic gases
Production of negative ion beams through charge transfer between negative hydrogen ion beams and non-metallic gases Open
Negative ion beam applications in tandem accelerators are used for nuclear research, environmental studies, materials analysis, medical treatments, and ion implantation in semiconductor devices. Conventional methods for generating negative…
View article: Creating negative ion beams from neutral gases using a negative hydrogen ion source
Creating negative ion beams from neutral gases using a negative hydrogen ion source Open
A typical method to produce negative ion beams uses alkali vapour as a medium for a double charge exchange to convert incident positive (1+) beams to negative (1-) beams. Alkali vapours pose a problem in ion production as they are flammabl…
View article: New exact solutions to the generalized shallow water wave equation
New exact solutions to the generalized shallow water wave equation Open
In this work, we study the generalized shallow water wave equation to obtain novel solitary wave solutions. The application of this non-linear model can be found in tidal waves, weather simulations, tsunami prediction, river and irrigation…
View article: Real Structures on Root Stacks and Parabolic Connections
Real Structures on Root Stacks and Parabolic Connections Open
Let $D$ be a reduced effective strict normal crossing divisor on a smooth complex variety $X$, and let $\mathfrak{X}_D$ be an associated root stack over $\mathbb C$. Suppose that $X$ admits an anti-holomorphic involution (real structure) t…
View article: Analysis of the dynamics of the resonant planetary system HD 45364
Analysis of the dynamics of the resonant planetary system HD 45364 Open
The aim of this work is to analyse the orbital dynamics and stability of exoplanetary system in which two planets are in nearly 3:2 MMR. We have taken HD 45364 system for our study in which two planets are most likely in a 3:2 MMR. We have…
View article: Analysis of the dynamics of the resonant planetary system HD 45364
Analysis of the dynamics of the resonant planetary system HD 45364 Open
The aim of this work is to analyse the orbital dynamics and stability of exoplanetary system in which two planets are in nearly 3:2 MMR. We have taken HD 45364 system for our study in which two planets are most likely in a 3:2 MMR. We have…
View article: Performance Analysis of Trihexyltetradecylphosphonium Chloride Ionic Fluid under MQL Condition in Hard turning
Performance Analysis of Trihexyltetradecylphosphonium Chloride Ionic Fluid under MQL Condition in Hard turning Open
The current research presents an overall performance-based analysis of Trihexyltetradecylphosphonium Chloride [[CH3(CH2)5]P(Cl)(CH2)13CH3] ionic fluid mixed with organic coconut oil (OCO) during turning of hardened D2 steel. The applicatio…
View article: Fundamental Group Schemes of $n$-fold Symmetric Product of a Smooth Projective Curve
Fundamental Group Schemes of $n$-fold Symmetric Product of a Smooth Projective Curve Open
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 $S^n(X)$ be the $n$-fold symmetric product of $X$. In this arti…
View article: Dust Ion Acoustic Solitary Structures at the Acoustic Speed in the Presence of Nonthermal Electrons and Isothermal Positrons
Dust Ion Acoustic Solitary Structures at the Acoustic Speed in the Presence of Nonthermal Electrons and Isothermal Positrons Open
The Sagdeev pseudo-potential technique and the analytic theory developed by Das et al. [J. Plasma Phys. 78, 565 (2012)] have been used to investigate the dust ion acoustic solitary structures at the acoustic speed in a collisionless unmagn…
View article: Study Of Some Real Definite Integrals Over A Unit Triangle Via Adaptive Scheme
Study Of Some Real Definite Integrals Over A Unit Triangle Via Adaptive Scheme Open
In this note, an effective quadrature rule with an adaptive scheme has been implemented over the triangular domain.The double transformations have been used to transform the triangular surface into a standard square space.The new quadratur…
View article: Modulation of Heavy Nucleus Acoustic Waves in a Degenerate Relativistic Plasma
Modulation of Heavy Nucleus Acoustic Waves in a Degenerate Relativistic Plasma Open
Basic features of an ultra-low frequency heavy nucleus acoustic (HNA) wave in a three-component (electrons, light nuclei and heavy nuclei) degenerate relativistic plasma model has been studied by taking the dynamics of the heavy nuclei. He…
View article: Picard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves
Picard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves Open
Let X be an irreducible smooth projective curve of genus g ≥ 2 over ℂ. Let M G, Higgs δ be a connected reductive affine algebraic group over ℂ. Let Higgs be the moduli space of semistable principal G-Higgs bundles on X of topological type …
View article: The Modulation of a Dust Ion-Acoustic Wave in a Collisional Dusty Plasma
The Modulation of a Dust Ion-Acoustic Wave in a Collisional Dusty Plasma Open
The modulation instability of a dust ion-acoustic (DIA) wave in a highly collisional dusty plasma is studied theoretically.In this investigation, effects of ionization, ion loss, and electron superthermality on the DIA wave are included.By…
View article: Logarithmic connections on principal bundles over a Riemann surface
Logarithmic connections on principal bundles over a Riemann surface Open
Let [Formula: see text] be a holomorphic principal [Formula: see text]-bundle on a compact connected Riemann surface [Formula: see text], where [Formula: see text] is a connected reductive complex affine algebraic group. Fix a finite subse…
View article: Equivariant bundles and adapted connections
Equivariant bundles and adapted connections Open
Given a complex manifold $M$ equipped with a holomorphic action of a connected complex Lie group $G$, and a holomorphic principal $H$--bundle $E_H$ over $X$ equipped with a $G$--connection $h$, we investigate the connections on the princip…
View article: Criterion for logarithmic connections with prescribed residues
Criterion for logarithmic connections with prescribed residues Open
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 summand of $E$ is zero. Fix a finite subset $S$ of $X$, and f…
View article: Approximate Solution of Real Definite Integrals in Adaptive Routine
Approximate Solution of Real Definite Integrals in Adaptive Routine Open
A mixed quadrature rule of higher precision has been formulated by taking two constituent rules each of lower degree of precision. Mixed quadrature rule in adaptive environment is used for evaluation of real definite integrals over a circl…
View article: Equivariant bundles and connections
Equivariant bundles and connections Open
Let $X$ be a connected complex manifold equipped with a holomorphic action of a complex Lie group $G$. We investigate conditions under which a principal bundle on $X$ admits a $G$--equivariance structure.
View article: Approximation of analytic functions in adaptive environment
Approximation of analytic functions in adaptive environment Open
In this paper, a mixed quadrature rule of degree of precision seven is formed for analytic functions by taking two constituent rules each of degree of precision five. Here the integral of analytic function is converted to real definite int…
View article: Fundamental group of moduli of principal bundles on curves
Fundamental group of moduli of principal bundles on curves Open
Let $X$ be a compact connected Riemann surface of genus at least two, and let ${G}$ be a connected semisimple affine algebraic group defined over $\mathbb C$. For any $δ\in π_1({G})$, we prove that the moduli space of semistable principal …