On the ideals of secant varieties of Segre varieties
Algebraic Geometry
2007-05-23 v1 Representation Theory
Abstract
We establish basic techniques for studying the ideals of secant varieties of Segre varieties. We solve a conjecture of Garcia, Stillman and Sturmfels on the generators of the ideal of the first secant variety in the case of three factors and solve the conjecture set-theoretically for an arbitrary number of factors. We determine the low degree components of the ideals of secant varieties of small dimension in a few cases.
Keywords
Cite
@article{arxiv.math/0311388,
title = {On the ideals of secant varieties of Segre varieties},
author = {J. M. Landsberg and Laurent Manivel},
journal= {arXiv preprint arXiv:math/0311388},
year = {2007}
}
Comments
19 pages