Bernt Ivar Utstøl Nødland

activity

20162021

most citedLocal Euler obstructions of toric varieties

4 citations · 8 across the 9 of their papers we have counts for

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8 papers · 1 filter

math.AG2020

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…

math.AG2020★ 1 cited

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…

math.AG2019

Chow groups and pseudoeffective cones of complexity one $T$ -varieties

Bernt Ivar Utstøl Nødland

We show that the pseudoeffective cone of $k$ -cycles on a complete complexity one $T$ -variety is rational polyhedral for any $k$ , generated by classes of $T$ -invariant subvarieties.…

math.AG2017★ 1 cited

Polar degrees and closest points in codimension two

Martin Helmer, Bernt Ivar Utstøl Nødland

Suppose that $X_{A} \subset P^{n - 1}$ is a toric variety of codimension two defined by an $(n - 2) \times n$ integer matrix $A$ , and let $B$ be a Gale dual of $A$ . In this paper…

math.AG2017★ 1 cited

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…

math.AG2017

Secants, bitangents, and their congruences

Kathlén Kohn, Bernt Ivar Utstøl Nødland, Paolo Tripoli

A congruence is a surface in the Grassmannian $Gr (1, P^{3})$ of lines in projective $3$ -space. To a space curve $C$ , we associate the Chow hypersurface in $\mathrm{G…

math.AG2016★ 4 cited

Local Euler obstructions of toric varieties

Bernt Ivar Utstøl Nødland

We use Matsui and Takeuchi's formula for toric A-discriminants to give algorithms for computing local Euler obstructions and dual degrees of toric surfaces and 3-folds. In particul…

math.AG2016★ 1 cited

A toric proof of Bézout's theorem for weighted projective spaces

Bernt Ivar Utstøl Nødland

Using toric geometry we prove a Bézout type theorem for weighted projective spaces.

Murphy's law for toric vector bundles on smooth projective toric varieties

Some positivity results for toric vector bundles

Chow groups and pseudoeffective cones of complexity one T-varieties

Polar degrees and closest points in codimension two

The Hilbert scheme of 11 points in A^3 is irreducible

Secants, bitangents, and their congruences

Local Euler obstructions of toric varieties

A toric proof of Bézout's theorem for weighted projective spaces

Chow groups and pseudoeffective cones of complexity one $T$ -varieties