On the ideals and singularities of secant varieties of segre varieties
by
J. M. Landsberg
,
Jerzy Weyman
| Venue: | math.AG/0601452, Bull. London Math. Soc |
| Citations: | 10 - 3 self |
BibTeX
@TECHREPORT{Landsberg_onthe,
author = {J. M. Landsberg and Jerzy Weyman},
title = {On the ideals and singularities of secant varieties of segre varieties},
institution = {math.AG/0601452, Bull. London Math. Soc},
year = {}
}
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Abstract
Abstract. We find minimal generators for the ideals of secant varieties of Segre varieties in the cases of σk(P 1 × P n × P m) for all k, n, m, σ2(P n × P m × P p × P r) for all n, m, p, r (GSS conjecture for four factors), and σ3(P n ×P m ×P p) for all n, m, p and prove they are normal with rational singularities in the first case and arithmetically Cohen-Macaulay in the second two. 1.
