In 1978 Hartshorne published a list of 26 open problems about algebraic bundles on projective spaces ( https://ac.els-cdn.com/0040938379900302/1-s2.0-0040938379900302-main.pdf?_tid=69f01126-e509-11e7-9786-00000aab0f6c&acdnat=1513721605_d0adcee7f3f496e7df64b75b3b0ee57d ), proceeding from an Oxford conference organized by Atiyah.

I understand that many of these problems now have well known solutions, but others are less familiar to me. Might anybody know which have solutions? I would love to read them.

It would also be nice to know which problems remain open.

In 1978 Hartshorne published a list of 26 open problems about algebraic bundles on projective spaces [Hart], proceeding from an Oxford conference organized by Atiyah.

I understand that many of these problems now have well known solutions, but others are less familiar to me. Might anybody know which have solutions? I would love to read them.

It would also be nice to know which problems remain open.

[Hart] Hartshorne, Robin, Algebraic vector bundles on projective spaces: A problem list, Topology 18, 117-128 (1979). ZBL0417.14011.