Noah Olander

most citedThe Rouquier Dimension of Quasi-Affine Schemes

2 citations · 2 across the 3 of their papers we have counts for

collaborators

4 papers

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 $X$ a regular quasi-affine scheme of dimension $d$ , $O_{X}$ is a $d$ -step generator of $D_{co h}^{b} (X)$ , 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.

math.AG2020

Orlov's Theorem in the Smooth Proper Case

Noah Olander

We extend Orlov's result that certain functors between derived categories of smooth projective varieties are Fourier--Mukai transforms to the case when those varieties are smooth a…