26 citations · 97 across the 17 of their papers we have counts for
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math.AG2011★ 26 cited
Algebraic boundaries of Hilbert's SOS cones
Grigoriy Blekherman, Jonathan Hauenstein, John Christian Ottem +2
We study the geometry underlying the difference between non-negative polynomials and sums of squares. The hypersurfaces that discriminate these two cones for ternary sextics and qu…
math.AG2011★ 2 cited
Ample subvarieties and q-ample divisors
John Christian Ottem
We introduce a notion of ampleness for subschemes of higher codimension using the theory of q-ample line bundles. We also investigate certain geometric properties satisfied by ampl…