Chordal varieties of Veronese varieties and catalecticant matrices
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Abstract
It is proved that the chordal variety of the Veronese variety v_d(P^n) is projectively normal, arithmetically Cohen-Macaulay and its homogeneous ideal is generated by the 3 x 3 minors of two catalecticant matrices. These results are generalized to the catalecticant varieties Gor_{\leq}(T) with t_1 = 2. We also give a simplified proof of a theorem of O. Porras about the rank varieties of symmetric tensors.
Keywords
Cite
@article{arxiv.math/9804141,
title = {Chordal varieties of Veronese varieties and catalecticant matrices},
author = {Vassil Kanev},
journal= {arXiv preprint arXiv:math/9804141},
year = {2007}
}
Comments
17 pages, Latex2e