Morgan Opie

activity

20202025

A^{1}

-Euler characteristic and the Hochschild complex

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2025

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.AT2024

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…

math.AG2020★ 1 cited

Compactly supported $A^{1}$ -Euler characteristic and the Hochschild complex

Niny Arcila-Maya, Candace Bethea, Morgan Opie +2

We show the $A^{1}$ -Euler characteristic of a smooth, projective scheme over a characteristic $0$ field is represented by its Hochschild complex together with a canonical…

Efficient generation of projective modules: a motivic view

Enumerating complex rank n vector bundles on CPn+1

Compactly supported A1-Euler characteristic and the Hochschild complex

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

Compactly supported $A^{1}$ -Euler characteristic and the Hochschild complex