18 citations · 43 across the 8 of their papers we have counts for
8 papers
Ulrich bundles on double covers of projective spaces
N. Mohan Kumar, Poornapushkala Narayanan, A. J. Parameswaran
In this article, we prove that any smooth projective variety which is a double cover of the projective space () admits an Ulrich bundle. When , we…
Spaces of rational curves in complete intersections
Roya Beheshti, N. Mohan Kumar
We prove that the space of smooth rational curves of degree in a general complete intersection of multidegree in $\PP^n$ is irreducible of the expected dimens…
On codimension two subvarieties in hypersurfaces
N. Mohan Kumar, A. P. Rao, G. V. Ravindra
We show that for a smooth hypersurface $X\subset \bbP^n$ of degree at least 2, there exist arithmetically Cohen-Macaulay (ACM) codimension two subvarieties which are n…
A Graphical Representation of Rings via Automorphism Groups
N. Mohan Kumar, Pramod K. Sharma
Let be a commutative ring with identity. We define a graph $Γ_{\aut}(R)$ on , with vertices elements of , such that any two distinct vertices are adjacent if and…
A note on cancellation of reflexive modules
N. Mohan Kumar
We prove that cancellation of reflexive modules over affine rings holds under some restrictions. We construct examples to show that this is false even over polynomial rings without…
Construction of rank two bundles on in positive characteristic
N. Mohan Kumar
Many examples of rank two bundles on are constructed in positive characteristic. Construction depends on constructing certain special bundles on which is sh…