Michael K. Brown

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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…

math.AG2024

A short proof of the Hanlon-Hicks-Lazarev Theorem

Michael K. Brown, Daniel Erman

We give a short, new proof of a recent result of Hanlon-Hicks-Lazarev about toric varieties. As in their work, this leads to a proof of a conjecture of Berkesch-Erman-Smith on virt…