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Qfwfq
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It is well known that the Grassmanian of lines in $\mathbb P^3$ is isomorphic to a quadric in $\mathbb P^5$. I would like to ask if the tautological rank two bundle on the grassmanian extends to a rank two bundle on the whole of $\mathbb P^5$?

It is well known that the Grassmanian of lines in $\mathbb P^3$ is isomorphic to a quadric in $\mathbb P^5$. I would like to ask if the tautological rank two bundle on the grassmanian extends a rank two bundle whole $\mathbb P^5$?

It is well known that the Grassmanian of lines in $\mathbb P^3$ is isomorphic to a quadric in $\mathbb P^5$. I would like to ask if the tautological rank two bundle on the grassmanian extends to a rank two bundle on the whole of $\mathbb P^5$?

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aglearner
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It is well known that the Grassmanian of lines in $\mathbb P^3$ is isomorphic to a quadric in $\mathbb P^4$$\mathbb P^5$. I would like to ask if the tautological rank two bundle on the grassmanian extends a rank two bundle whole $\mathbb P^4$$\mathbb P^5$?

It is well known that the Grassmanian of lines in $\mathbb P^3$ is isomorphic to a quadric in $\mathbb P^4$. I would like to ask if the tautological rank two bundle on the grassmanian extends a rank two bundle whole $\mathbb P^4$?

It is well known that the Grassmanian of lines in $\mathbb P^3$ is isomorphic to a quadric in $\mathbb P^5$. I would like to ask if the tautological rank two bundle on the grassmanian extends a rank two bundle whole $\mathbb P^5$?

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aglearner
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Extending the tautological bundle of $G(1,3)$?

It is well known that the Grassmanian of lines in $\mathbb P^3$ is isomorphic to a quadric in $\mathbb P^4$. I would like to ask if the tautological rank two bundle on the grassmanian extends a rank two bundle whole $\mathbb P^4$?