Chordal varieties of Veronese varieties and catalecticant matrices

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dc.creatorKanev, Vassil
dc.date1998-04-30
dc.date.accessioned2026-07-07T05:24:38Z
dc.date.available2026-07-07T05:24:38Z
dc.descriptionIt 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.
dc.description17 pages, Latex2e
dc.identifierhttps://arxiv.org/abs/math/9804141
dc.identifierhttp://arxiv.org/abs/math/9804141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76878
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14M12 (Primary); 13C40, 15A69 (Secondary)
dc.titleChordal varieties of Veronese varieties and catalecticant matrices
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