Projective bundles and blow-ups of Projective spaces
Sergey Galkin, D. S. Nagaraj

TL;DR
This paper explores the relationship between projective bundles over projective spaces and specific blow-ups of projective spaces, focusing on their geometric and algebraic properties.
Contribution
It provides new insights into the connection between these two classes of non-singular projective varieties of Picard rank 2.
Findings
Identifies conditions under which projective bundles and blow-ups are related.
Establishes a correspondence between certain projective bundles and blow-up varieties.
Enhances understanding of the structure of Picard rank 2 varieties.
Abstract
The aim of this note is to investigate the relation between two types of non-singular projective varieties of Picard rank 2, namely the Projective bundles over Projective spaces and certain Blow-up of Projective spaces.
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