On the ideals and singularities of secant varieties of Segre varieties期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On the ideals and singularities of secant varieties of Segre varieties

Authors:	Landsberg, J. M. Weyman, Jerzy

Affiliation:	Department of Mathematics Texas A&M University Mailstop 3368 College Station, TX 77843-3368 USA

Abstract:	We find minimal generators for the ideals of secant varietiesof Segre varieties in the cases of ${sigma}$ _k( $P$ ¹ x $P$ ⁿ x $P$ ^m) for all k, n,m, ${sigma}$ ₂( $P$ ⁿ x $P$ ^m x $P$ ^p x $P$ ^r) for all n, m, p, r (GSS conjecture for fourfactors), and ${sigma}$ ₃( $P$ ⁿ x $P$ ^m x $P$ ^p) for all n, m, p and prove they arenormal with rational singularities in the first case and arithmeticallyCohen–Macaulay in the second two cases.

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