activity
20162022
most citedUlrich line bundles on double planes

3 citations · 6 across the 4 of their papers we have counts for

collaborators

6 papers

math.AG2022

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…

math.AG2019★ 3 cited

Ulrich line bundles on double planes

A. J. Parameswaran, Poornapushkala Narayanan

Consider a smooth complex surface which is a double cover of the projective plane branched along a smooth curve of degree . In this article, we study the geo…

math.SP2018★ 1 cited

On multiplicity of spectrum for Anderson type operators with higher rank perturbations

Anish Mallick, P A Narayanan

Here, we focus on Anderson type operators over infinite graphs where the randomness acts through higher rank perturbations. We show that for special family of graphs, the operator…

math.AG2017

Semistability of Lazarsfeld-Mukai bundles via parabolic structures

Poornapushkala Narayanan

Our aim in this article is to produce new examples of semistable Lazarsfeld- Mukai bundles on smooth projective surfaces using the notion of parabolic vector bundles. In partic…

math.AG2017

Lazarsfeld-Mukai Reflexive Sheaves and their Stability

Poornapushkala Narayanan

Consider an ample and globally generated line bundle on a smooth projective variety of dimension over . Let be a smooth divisor in the complete li…

math.AG2016★ 2 cited

On the Semistability of certain Lazarsfeld-Mukai bundles on Abelian surfaces

Poornapushkala Narayanan

Let be the Jacobian of a genus 2 curve over and be the associated Kummer surface. Consider an ample line bundle $L=O(m\widetilde{\mat…