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math.AG2017★ 1 cited
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…
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 of lines in projective -space. To a space curve , we associate the Chow hypersurface in $\mathrm{G…