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math.AG2024
Smooth blow up structures on projective bundles
Supravat Sarkar
Assuming Hartshorne's conjecture on complete intersections, we classify projective bundles over projective spaces which has a smooth blow up structure over another projective space…
math.AG2024
Extremal Contraction of Projective Bundles
Ashima Bansal, Supravat Sarkar, Shivam Vats
In this article, we explore the extremal contractions of several projective bundles over smooth Fano varieties of Picard rank . We provide a whole class of examples of projectiv…
math.AG2024
Varieties with two smooth blow up structures
Supravat Sarkar
We classify smooth projective varieties of Picard rank 2 which has two structures of blow-up of projective space along smooth subvarieties of different dimensions. This gives a cha…