3 citations · 4 across the 5 of their papers we have counts for
6 papers
-connectedness of moduli of semistable bundles and symplectic bundles on a curve
Umesh V Dubey, Rakesh Pawar
In this note, we show that over a geometrically irreducible smooth projective curve over an infinite field , the moduli stack of semistable vector bundles of fixed determinant i…
Moduli of super-representations of quivers
Sanjay Amrutiya, Umesh Dubey
In this note, we construct moduli spaces of super-representations of quivers by extending King's Geometric Invariant Theory (GIT) framework to the super setting. Using the even par…
Tensor product of representations of quivers
Pradeep Das, Umesh V. Dubey, N. Raghavendra
In this article, we define the tensor product of a representation of a quiver with a representation of an another quiver , and show that the representa…
Moduli of parabolic sheaves and filtered Kronecker modules
Sanjay Amrutiya, Umesh Dubey
We give functorial moduli construction of pure parabolic sheaves, in the sense of Alvarez-Consul and A. King, using the moduli of filtered Kronecker modules we introduced in our ea…
Sheaf Of regular functions
Rani Kumari, Umesh Kumar V Dubey
In this paper, we proved that for an affine variety V in A^n; O_V is a sheaf of regular functions and the ringed space pair (V;O_V ) is a locally ringed space.
Moduli of filtered quiver representations
Sanjay Amrutiya, Umesh Dubey
In this paper, we give a construction of the moduli space of filtered representations of a given quiver of fixed dimension vector with the appropriate notion of stability. The cons…