5 papers
Notes On Fundamental Groupoid Schemes
Pavan Adroja, Sanjay Amrutiya
In this article, we study the various fundamental groupoid schemes corresponding to Tannakian categories of certain types of vector bundles. We compute fundamental groupoid scheme…
Hodge decomposition theorem on compact -Kähler manifolds
Sanjay Amrutiya, Ayush Jaiswal
In this article, we will explore the fundamental concepts, including various basic concepts on -complex manifolds, along with several differential operators and examine the rela…
On an extension of Nori and local fundamental group schemes
Pavan Adroja, Sanjay Amrutiya
This article studies an extended Nori and local fundamental group schemes of Abelian varieties. We also discuss the birational invariance of these group schemes and study their beh…
On d-Holomorphic Connections
Sanjay Amrutiya, Ayush Jaiswal
We develop the theory of d-holomorphic connections on d-holomorphic vector bundles over a Klein surface by constructing the analogous Atiyah exact sequence for d-holomorphic bundle…
A gauge theoretic aspect of parabolic bundles over real curves
Sanjay Amrutiya, Ayush Jaiswal
In this article, we study the gauge theoretic aspects of real and quaternionic parabolic bundles over a real curve , where X is a compact Riemann surface and σX is an ant…