On the real -ranks of points of with respect to a real variety
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2010)
- Volume: 54, Issue: 2
- ISSN: 0365-1029
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topEdoardo 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 54.2 (2010): null. <http://eudml.org/doc/289848>.
@article{EdoardoBallico2010,
abstract = {Let $X\subset \mathbb \{P\}^n$ be an integral and non-degenerate $m$-dimensional variety defined over $\mathbb \{R\}$. For any $P \in ~\mathbb \{P\}^n(\mathbb \{R\})$ the real $X$-rank $r_\{X,\mathbb \{R\}\}(P)$ is the minimal cardinality of $S\subset X(\mathbb \{R\})$ such that $P\in \langle S\rangle $. Here we extend to the real case an upper bound for the $X$-rank due to Landsberg and Teitler.},
author = {Edoardo Ballico},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Ranks; real variety; structured rank},
language = {eng},
number = {2},
pages = {null},
title = {On the real $X$-ranks of points of $\mathbb \{P\}^n(\mathbb \{R\})$ with respect to a real variety $X\subset \mathbb \{P\}^n$},
url = {http://eudml.org/doc/289848},
volume = {54},
year = {2010},
}
TY - JOUR
AU - Edoardo Ballico
TI - On the real $X$-ranks of points of $\mathbb {P}^n(\mathbb {R})$ with respect to a real variety $X\subset \mathbb {P}^n$
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2010
VL - 54
IS - 2
SP - null
AB - Let $X\subset \mathbb {P}^n$ be an integral and non-degenerate $m$-dimensional variety defined over $\mathbb {R}$. For any $P \in ~\mathbb {P}^n(\mathbb {R})$ the real $X$-rank $r_{X,\mathbb {R}}(P)$ is the minimal cardinality of $S\subset X(\mathbb {R})$ such that $P\in \langle S\rangle $. Here we extend to the real case an upper bound for the $X$-rank due to Landsberg and Teitler.
LA - eng
KW - Ranks; real variety; structured rank
UR - http://eudml.org/doc/289848
ER -
References
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