Hyperplane sections of projective bundle associated to the tangent bundle of $\mathbb{P}^2.$

A. El Mazouni; D. S. Nagaraj

Hyperplane sections of projective bundle associated to the tangent bundle of $\mathbb{P}^2.$

Algebraic Geometry 2021-03-23 v3

Authors: A. El Mazouni , D. S. Nagaraj

Abstract

In this note we give a complete description of all the hyperplane section of the projective bundle associated to the tangent bundle of $\mathbb{P}^2$ under its natural embedding in $\mathbb{P}^7.$ As an application one obtains a description of all possible deformations, in $\text{SL_3(\mathbb{C}}/B,$ of the co-dimension one sub-scheme which is the union of two fundamental Schubert divisors.

Keywords

projective bundle tangent bundle hyperplane section Schubert divisors algebraic geometry

Cite

@article{arxiv.1901.08367,
  title  = {Hyperplane sections of projective bundle associated to the tangent bundle of $\mathbb{P}^2.$},
  author = {A. El Mazouni and D. S. Nagaraj},
  journal= {arXiv preprint arXiv:1901.08367},
  year   = {2021}
}

Comments

comments are welcome, revised version, some minor mistakes in the previous version is corrected and some new results are added

Hyperplane sections of projective bundle associated to the tangent bundle of $\mathbb{P}^2.$

Abstract

Keywords

Cite

Comments

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