26 citations · 97 across the 17 of their papers we have counts for
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math.OC2013★ 2 cited
Quartic Spectrahedra
John Christian Ottem, Kristian Ranestad, Bernd Sturmfels +1
Quartic spectrahedra in 3-space form a semialgebraic set of dimension 24. This set is stratified by the location of its ten nodes. There are twenty maximal strata, identified recen…
math.AG2013
On subvarieties with ample normal bundle
John Christian Ottem
We show that a pseudoeffective R-divisor has numerical dimension 0 if it is numerically trivial on a subvariety with ample normal bundle. This implies that the cycle class of a cur…
math.AG2013★ 2 cited
Birational geometry of hypersurfaces in products of projective spaces
John Christian Ottem
We study the birational properties of hypersurfaces in products of projective spaces. In the case of hypersurfaces in P^m x P^n, we describe their nef, movable and effective cones…