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Isomorphism of Multiprojective Bundles and Projective Towers

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arxiv 2311.00999 v1 pith:3VBLL4TF submitted 2023-11-02 math.AG

Ashima Bansal , Supravat Sarkar , Shivam Vats This is my paper · ORCID
classification math.AG
keywords projectivebundlesisomorphicdifferenttowersvarietiesarbitraryassumptions
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We study when two projective bundles over two arbitrary smooth projective varieties of different dimensions can be isomorphic. We show that two multi-projective bundles (fibre product of projective bundles) over different projective spaces cannot be isomorphic, except in the trivial case. We also give necessary and sufficient conditions for the top varieties of two height 3 towers of projective bundles being isomorphic, under certain assumptions.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Automorphisms of punctual Hilbert schemes and symmetric powers of varieties

    math.AG 2025-08 conditional novelty 7.0 of 10

    The paper gives an exact classification of surfaces whose punctual Hilbert scheme or symmetric power admits a non-natural automorphism.

  2. Algebraically Skew Embeddings of Curves

    math.AG 2025-01 conditional novelty 5.0 of 10

    In complex projective 4-space, the only algebraically skew curves are the rational normal curve and the elliptic normal curves; in 3-space, the only one is the twisted cubic.

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