On the real $X$-ranks of points of $\mathbb {P}^n(\mathbb {R})$ with respect to a real variety $X\subset \mathbb {P}^n$

Edoardo Ballico

On the real

X

-ranks of points of

ℙ^{n} (ℝ)

with respect to a real variety

X \subset ℙ^{n}

Edoardo Ballico

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 54 (2010), / Harvested from The Polish Digital Mathematics Library

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Résumé

Let $X \subset ℙ^{n}$ be an integral and non-degenerate $m$ -dimensional variety defined over $ℝ$ . For any $P \in ℙ^{n} (ℝ)$ the real $X$ -rank $r_{X, ℝ} (P)$ is the minimal cardinality of $S \subset X (ℝ)$ such that $P \in 〈 S 〉$ . Here we extend to the real case an upper bound for the $X$ -rank due to Landsberg and Teitler.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:289848

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     title = {On the real $X$-ranks of points of $\mathbb {P}^n(\mathbb {R})$ with respect to a real variety $X\subset \mathbb {P}^n$
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     journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
     volume = {54},
     year = {2010},
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     url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2010_54_2_15-19}
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Edoardo Ballico. 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, sectio A – Mathematica, Tome 54 (2010) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2010_54_2_15-19/

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