2 citations · 2 across the 3 of their papers we have counts for
6 papers
Bondal--Orlov reconstruction for tame stacks with trivial generic stabilizer
Daigo Ito, Noah Olander
We generalize the Bondal--Orlov Reconstruction Theorem to smooth, proper, tame algebraic stacks with generically trivial stabilizer, whose canonical bundles are nowhere torsion: Th…
On weakly étale morphisms
Aise Johan de Jong, Noah Olander
We show that the weakly étale morphisms, used to define the pro-étale site of a scheme, are characterized by a lifting property similar to the one which characterizes formally étal…
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…
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…
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.
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…