Michael K. Brown

collaborators

3 papers

math.AC2025

Linear syzygies of curves in weighted projective space

Michael K. Brown, Daniel Erman

We develop analogues of Green's $N_{p}$ -conditions for subvarieties of weighted projective space, and we prove that such $N_{p}$ -conditions are satisfied for high degree embeddings of…

math.AC2025

Periodicity of ideals of minors in free resolutions

Michael K. Brown, Hailong Dao, Prashanth Sridhar

We study the asymptotic behavior of the ideals of minors in minimal free resolutions over local rings. In particular, we prove that such ideals are eventually 2-periodic over compl…

math.AG2024

A short resolution of the diagonal for smooth projective toric varieties of Picard rank 2

Michael K. Brown, Mahrud Sayrafi

Given a smooth projective toric variety $X$ of Picard rank 2, we resolve the diagonal sheaf on $X \times X$ by a linear complex of length $dim X$ consisting of finite direct sums…