25 citations · 57 across the 9 of their papers we have counts for
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math.AG2009★ 9 cited
On the typical rank of real binary forms
Pierre Comon, Giorgio Ottaviani
We determine the rank of a general real binary form of degree d=4 and d=5. In the case d=5, the possible values of the rank of such general forms are 3,4,5. The existence of three…
math.AG2009★ 3 cited
On the hypersurface of Luroth quartics
Giorgio Ottaviani, Edoardo Sernesi
The hypersurface of Luroth quartic curves inside the projective space of plane quartics has degree 54. We give a proof of this fact along the lines outlined in a paper by Morley, p…
math.AG2009★ 5 cited
Non-Defectivity of Grassmannians of planes
Hirotachi Abo, Giorgio Ottaviani, Chris Peterson
Let be the Plücker embedding of the Grassmann variety of projective -planes in . For a projective variety , let denote the variety of its secant…