Tangent bundle of $\PP^2$ and morphism from $\PP^2$ to $\text{Gr}(2, \CC^{4})$

A. El Mazouni; D.S. Nagaraj

arxiv: 1605.06234 · v1 · pith:LYSM6YXDnew · submitted 2016-05-20 · 🧮 math.AG

Tangent bundle of PP² and morphism from PP² to Gr(2, CC⁴)

A. El Mazouni , D.S. Nagaraj This is my paper

classification 🧮 math.AG

keywords textbundletangentcomponentcorrespondsgivenhibertimage

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In this note we study the image of $\PP^2$ in $\text{Gr}(2, \CC^{4})$ given by tangent bundle of $\PP^2. $ We show that there is component $\mathcal{H}$ of the Hibert scheme of surfaces in $\text{Gr}(2, \CC^{4})$ with no point of it corresponds to a smooth surface.

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Tangent bundle of PP² and morphism from PP² to Gr(2, CC⁴)

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