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

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