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

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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.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

Compactly supported A1-Euler characteristic and the Hochschild complex

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