Geodesic
On the real \(X\)-ranks of points of \(\mathbb{P}^n(\mathbb{R})\) with respect to a real variety \(X\subset\mathbb{P}^n\)
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 54 (2010) no. 2.

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Let X⊂ℙ^n be an integral and non-degenerate m-dimensional variety defined over ℝ. For any P ∈ℙ^n(ℝ) the real X-rank r_X,ℝ(P) is the minimal cardinality of S⊂ X(ℝ) such that P∈〈 S〉. Here we extend to the real case an upper bound for the X-rank due to Landsberg and Teitler.
Keywords: Ranks, real variety, structured rank 
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Ballico, Edoardo. On the real \(X\)-ranks of points of \(\mathbb{P}^n(\mathbb{R})\) with respect to a real variety \(X\subset\mathbb{P}^n\). Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 54 (2010) no. 2. http://geodesic.mathdoc.fr/item/AUM_2010_54_2_a7/

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