1 citations · 2 across the 4 of their papers we have counts for
9 papers
Measuring global properties of neural generative model outputs via generating mathematical objects
Bernt Ivar Utstøl Nødland
We train deep generative models on datasets of reflexive polytopes. This enables us to compare how well the models have picked up on various global properties of generated samples.…
Murphy's law for toric vector bundles on smooth projective toric varieties
Bernt Ivar Utstøl Nødland
We show that the moduli space of rank three toric vector bundles on smooth projective toric varieties satisfies Murphy's law, that is, every singularity type of finite type arises…
Some positivity results for toric vector bundles
Bernt Ivar Utstøl Nødland
We give a criterion for a projectivized toric vector bundle to be a Mori dream space and describe its Cox ring using generators and relations. Both of these results are in terms of…
Chow groups and pseudoeffective cones of complexity one -varieties
Bernt Ivar Utstøl Nødland
We show that the pseudoeffective cone of -cycles on a complete complexity one -variety is rational polyhedral for any , generated by classes of -invariant subvarieties.…
Polar degrees and closest points in codimension two
Martin Helmer, Bernt Ivar Utstøl Nødland
Suppose that is a toric variety of codimension two defined by an integer matrix , and let be a Gale dual of . In this paper…
The Hilbert scheme of 11 points in A^3 is irreducible
Theodosios Douvropoulos, Joachim Jelisiejew, Bernt Ivar Utstøl Nødland +1
We prove that the Hilbert scheme of 11 points on a smooth threefold is irreducible. In the course of the proof, we present several known and new techniques for producing curves on…