Grassmann secants and linear systems of tensors

Details Grassmann secants and linear systems of tensors Grassmann secants and linear systems of tensors

2011-10-28

arxiv.org/abs/1110.6367v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

For any irreducible non-degenerate variety $X\subset \mathbb{P}^r$, we relate
the dimension of the $s$-th secant varieties of the Segre embedding of
$\mathbb{P}^k\times X$ to the dimension of the $(k,s)$-Grassmann secant variety
$GS_X(k,s)$ of $X$. We also give a criterion for the $s$-identifiability of
$X$.

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