6 papers
On the triviality of direct image of coherent sheaves
Indranil Biswas, Jagadish Pine
Let be a finite morphism of projective varieties defined over an algebraically closed field of characteristic zero. We study the necessary and suff…
A remark on a theorem of Narasimhan and Ramanan
Jagadish Pine
In this short note, we provide an alternative proof of a notable theorem by Narasimhan and Ramanan. The theorem states that the moduli space of -equivalence classes of semistabl…
-away ACM line bundles on a nonsingular cubic surface
Debojyoti Bhattacharya, A. J. Parameswaran, Jagadish Pine
Let be a nonsingular cubic hypersurface. Faenzi (\cite{F}) and later Pons-Llopis and Tonini (\cite{PLT}) have completely characterized ACM line bundles over…
Ulrich bundles on cyclic coverings of projective spaces
A. J. Parameswaran, Jagadish Pine
We prove the existence of Ulrich bundles on cyclic coverings of of arbitrary degree . Given a relatively Ulrich bundle on a complete intersection subvariety, we c…
Seshadri constants on some flag bundles
Krishna Hanumanthu, Jagadish Pine
Let be a smooth complex projective curve and let be a vector bundle on which is not semistable. We consider a flag bundle parametrizing certain…
Universal parabolic moduli over
Jagadish Pine
In this article we will construct a universal moduli space of stable parabolic vector bundles over the moduli space of marked Deligne-Mumford stable curves …