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math.AG2021
Fully Faithful Functors and Dimension
Noah Olander
We define the countable Rouquier dimension of a triangulated category and use this notion together with Theorem 2 of [Ola21] to prove that if there is a fully faithful embedding $D…
math.AG2021★ 2 cited
The Rouquier Dimension of Quasi-Affine Schemes
Noah Olander
We prove that for a regular quasi-affine scheme of dimension , is a -step generator of , establishing Orlov's conjecture in this case. We pr…
math.AG2021
The Diagonal Dimension of Curves
Noah Olander
We prove Conjecture 4.16 of the paper [EL21] of Elagin and Lunts; namely, that a smooth projective curve of genus at least 1 over a field has diagonal dimension 2.