IJPAM: Volume 64, No. 2 (2010)

ON THE SYMMETRIC TENSOR RANK OF
NON-TANGENTIAL POINTS OF PROJECTIVE CURVES

E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]


Abstract.Let $X\subset \mathbb {P}^n$, $n\ge 3$, be an integral and non-degenerate curve with unramified normalization map. Fix $P\in \mathbb {P}^n$ not contained in any tangent line of $X$. Here we prove the existence of $S\subset X$ such that $\sharp (S)\le n-1$ and $P\in \langle S\rangle$.

Received: September 9, 2009

AMS Subject Classification: 14H50, 14N05

Key Words and Phrases: ranks, $X$-rank, symmetric tensor rank

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 64
Issue: 2