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$\begingroup$ There are examples of indecomposable rank $2$ vector bundles on $\mathbb{P}^5$ in characteristic $2$ due to Tango and Kumar-Peterson-Rao (independently). $\endgroup$

Mahdi Majidi-Zolbanin
– Mahdi Majidi-Zolbanin

2012-05-18 19:33:16 +00:00
Commented May 18, 2012 at 19:33
$\begingroup$ Thanks, Mahdi, that's interesting. Does this generalize to projective spaces of higher dimensions? $\endgroup$

algori
– algori

2012-06-01 21:24:06 +00:00
Commented Jun 1, 2012 at 21:24
$\begingroup$ No. If it did, then this problem would no longer be an open problem. $\endgroup$

Mahdi Majidi-Zolbanin
– Mahdi Majidi-Zolbanin

2013-08-02 01:00:42 +00:00
Commented Aug 2, 2013 at 1:00

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