Introduction to the hyperdeterminant and to the rank of multidimensional matrices
Algebraic Geometry
2013-01-04 v1
Abstract
This is an introduction to the hyperderminant, according to Gelfand, Kapranov and Zelevinsky. The "triangle inequality", characterizing the Segre varieties such that their dual variety is a hypersurface, is proved in a geometric way (Theorems 3.3 and 6.2). Significant emphasis is given to boundary format case, to pencil of quadrics and to the rank of multidimensional matrices. In the last section we propose three open problems.
Keywords
Cite
@article{arxiv.1301.0472,
title = {Introduction to the hyperdeterminant and to the rank of multidimensional matrices},
author = {Giorgio Ottaviani},
journal= {arXiv preprint arXiv:1301.0472},
year = {2013}
}
Comments
29 pages, 10 figures, expository paper