Examples of blown up varieties having projective bundle structures

Abstract

We give some examples of blow up of projective space along some projective subvariety, such that these blown up spaces are isomorphic to a projective bundle over some projective space.

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References

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Acknowledgements

The author would like to thank Prof. D. S. Nagaraj, IMSc, Chennai for suggesting this problem and for valuable suggestions while the author was working on this project. This work is financially supported by a fellowship from IMSc, Chennai (HBNI), DAE, Government of India.

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Correspondence to Nabanita Ray.

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Communicating Editor: Parameswaran Sankaran

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Ray, N. Examples of blown up varieties having projective bundle structures. Proc Math Sci 130, 15 (2020). https://doi.org/10.1007/s12044-019-0532-6

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Keywords

  • Blow up
  • projective bundle
  • nef cone
  • chow ring

2000 Mathematics Subject Classification

  • Primary: 14A10
  • Secondary: 14C20
  • 14C22