Morgan Opie

collaborators

2 papers

math.AG2026

Efficient generation of projective modules: a motivic view

Aravind Asok, Morgan Opie, Brian Shin +1

Assume $k$ is a field and $R$ is a smooth $k$ -algebra of dimension $d$ . If $P$ is a projective module of rank $r$ , then it is well-known that $P$ can be generated by $r + d$ -elements…

math.AT2026

Enumerating complex rank $n$ vector bundles on $C P^{n + 1}$

Morgan P. Opie

We enumerate complex rank $n$ topological vector bundles on $C P^{n + 1}$ with prescribed Chern classes. This extends work of Atiyah and Rees in the case $n = 2$ and work of Hu…

Efficient generation of projective modules: a motivic view

Enumerating complex rank n vector bundles on CPn+1

Enumerating complex rank $n$ vector bundles on $C P^{n + 1}$